Optics InfoBase > Optics Express > Volume 18 > Issue 5 > Page 5114
Long-term deformation at room temperature observed in fused silica
Maurizio Vannoni, Andrea Sordini, and Giuseppe Molesini »View Author Affiliations
CNR – Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy
*Corresponding author: maurizio.vannoni@inoa.it
Optics Express, Vol. 18, Issue 5, pp. 5114-5123 (2010)
http://dx.doi.org/10.1364/OE.18.005114
View Full Text Article
Enhanced HTML
Acrobat PDF (326 KB)
Abstract
Cases of long-term deformation of fused silica flats are reported. The phenomenon is detected at the scale of the nanometer, and exhibits a time constant of the order of 9 years. The observed deformation appears related to gravity and constraints, but a change of physical properties locally resulting in non-homothetic behavior is also hypothesized.
© 2010 OSA
OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.4800) Instrumentation, measurement, and metrology : Optical standards and testing
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure
ToC Category:
Instrumentation, Measurement, and Metrology
History
Original Manuscript: November 25, 2009
Revised Manuscript: January 11, 2010
Manuscript Accepted: January 22, 2010
Published: February 25, 2010
Citation
Maurizio Vannoni, Andrea Sordini, and Giuseppe Molesini, "Long-term deformation at room temperature observed in fused silica," Opt. Express 18, 5114-5123 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-5-5114
Sort: Author | Year | Journal | Reset
References
- B. Mysen, and P. Richet, Silicate Glasses and Melts (Elsevier, Amsterdam 2005).
- K. Numata, K. Yamamoto, H. Ishimoto, S. Otsuka, K. Kawabe, M. Ando, and K. Tsubono, “Systematic measurement of the intrinsic losses in various kinds of bulk fused silica,” Phys. Lett. A 327(4), 263–271 (2004). [CrossRef]
- R. Kitamura, L. Pilon, and M. Jonasz, “Optical constants of silica glass from extreme ultraviolet to far infrared at near room temperature,” Appl. Opt. 46(33), 8118–8133 (2007). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- S. Jordan, “The GAIA project: Technique, performance and status,” Astron. Nachr. 329(9-10), 875–880 (2008). [CrossRef]
- G. W. Morey, “The flow of glass at room temperature,” J. Opt. Soc. Am. 42(11), 856–857 (1952). [CrossRef]
- E. D. Zanotto, “Do cathedral glasses flow?” Am. J. Phys. 66(5), 392–395 (1998). [CrossRef]
- M. Pasachoff, “Comment on ‘Do cathedral glasses flow?’,” Am. J. Phys. 66(11), 1021 (1998). [CrossRef]
- E. D. Zanotto and P. K. Gupta, “Do cathedral glasses flow? – Additional remarks,” Am. J. Phys. 67(3), 260–262 (1999). [CrossRef]
- Y. M. Stokes, “Flowing windowpanes: fact or fiction?” Proc. R. Soc. Lond. A 455(1987), 2751–2756 (1999). [CrossRef]
- Y. M. Stokes, “Flowing windowpanes: a comparison of Newtonian and Maxwell fluid models,” Proc. R. Soc. Lond. A 456(2000), 1861–1864 (2000). [CrossRef]
- G. D. Dew, “Some observations on the long-term stability of optical flat,” Opt. Acta (Lond.) 21, 609–614 (1974). [CrossRef]
- J. W. Berthold, S. F. Jacobs, and M. A. Norton, “Dimensional stability of fused silica, Invar, and several ultralow thermal expansion materials,” Appl. Opt. 15(8), 1898–1899 (1976). [CrossRef]
- J. W. Berthold, S. F. Jacobs, and M. A. Norton, “Dimensional stability of fused silica, Invar, and several ultralow thermal expansion materials,” Metrologia 13(1), 9–16 (1977). [CrossRef]
- D. A. Ketelsen and D. S. Anderson, “Optical testing with large liquid flats,” Proc. Soc. Photo Opt. Instrum. Eng. 966, 365–371 (1988).
- I. Powell and E. Goulet, “Absolute figure measurements with a liquid-flat reference,” Appl. Opt. 37(13), 2579–2588 (1998). [CrossRef]
- M. Vannoni and G. Molesini, “Validation of absolute planarity reference plates with a liquid mirror,” Metrologia 42(5), 389–393 (2005). [CrossRef]
- M. Schulz and C. Elster, “Traceable multiple sensor system for measuring curved surface profiles with high accuracy and high lateral resolution,” Opt. Eng. 45(6), 1–3 (2006). [CrossRef]
- P. C. V. Mallik, C. Zhao, and J. H. Burge, “Measurement of a 2-meter flat using a pentaprism scanning system,” Opt. Eng. 46(2), 1–9 (2007). [CrossRef]
- J. Yellowhair and J. H. Burge, “Analysis of a scanning pentaprism system for measurements of large flat mirrors,” Appl. Opt. 46(35), 8466–8474 (2007). [CrossRef] [PubMed]
- R. D. Geckeler, “Optimal use of pentaprism in highly accurate deflectometric scanning,” Meas. Sci. Technol. 18(1), 115–125 (2007). [CrossRef]
- G. Schulz and J. Schwider, “Precise measurement of planeness,” Appl. Opt. 6(6), 1077–1084 (1967). [CrossRef] [PubMed]
- G. Schulz, J. Schwider, C. Hiller, and B. Kicker, “Establishing an optical flatness standard,” Appl. Opt. 10(4), 929–934 (1971). [CrossRef] [PubMed]
- J. Grzanna and G. Schulz, “Absolute testing of flatness standards at square-grid points,” Opt. Commun. 77(2-3), 107–112 (1990). [CrossRef]
- G. Schulz and J. Grzanna, “Absolute flatness testing by the rotation method with optimal measuring error compensation,” Appl. Opt. 31(19), 3767–3780 (1992). [CrossRef] [PubMed]
- G. Schulz, “Absolute flatness testing by an extended rotation method using two angles of rotation,” Appl. Opt. 32(7), 1055–1059 (1993). [CrossRef] [PubMed]
- J. Grzanna, “Absolute testing of optical flats at points on a square grid: error propagation,” Appl. Opt. 33(28), 6654–6661 (1994). [CrossRef] [PubMed]
- B. B. Oreb, D. I. Farrant, C. J. Walsh, G. Forbes, and P. S. Fairman, “Calibration of a 300-mm-aperture phase-shifting Fizeau interferometer,” Appl. Opt. 39(28), 5161–5171 (2000). [CrossRef]
- S. Sonozaki, K. Iwata, and Y. Iwahashi, “Measurement of profiles along a circle on two flat surfaces by use of a Fizeau interferometer with no standard,” Appl. Opt. 42(34), 6853–6858 (2003). [CrossRef] [PubMed]
- B. S. Fritz, “Absolute calibration of an optical flat,” Opt. Eng. 33, 379–383 (1984).
- C. Ai and J. C. Wyant, “Absolute testing of flats by using even and odd functions,” Appl. Opt. 32(25), 4698–4705 (1993). [CrossRef] [PubMed]
- C. J. Evans and R. N. Kestner, “Test optics error removal,” Appl. Opt. 35(7), 1015–1021 (1996). [CrossRef] [PubMed]
- P. Hariharan, “Interferometric testing of optical surfaces: absolute measurement of flatness,” Opt. Eng. 36(9), 2478–2481 (1997). [CrossRef]
- C. J. Evans, “Comment on the paper ‘Interferometric testing of optical surfaces: absolute measurement of flatness,” Opt. Eng. 37(6), 1880–1882 (1998). [CrossRef]
- R. E. Parks, L.-Z. Shao, and C. J. Evans, “Pixel-based absolute topography test for three flats,” Appl. Opt. 37(25), 5951–5956 (1998). [CrossRef]
- V. Greco, R. Tronconi, C. D. Vecchio, M. Trivi, and G. Molesini, “Absolute measurement of planarity with Fritz’s method: uncertainty evaluation,” Appl. Opt. 38(10), 2018–2027 (1999). [CrossRef]
- K. R. Freischlad, “Absolute interferometric testing based on reconstruction of rotational shear,” Appl. Opt. 40(10), 1637–1648 (2001). [CrossRef]
- M. F. Küchel, “A new approach to solve the three flat problem,” Optik (Stuttg.) 112(9), 381–391 (2001). [CrossRef]
- U. Griesmann, “Three-flat test solutions based on simple mirror symmetry,” Appl. Opt. 45(23), 5856–5865 (2006). [CrossRef] [PubMed]
- U. Griesmann, Q. Wang, and J. Soons, “Three-flat tests including mounting-induced deformations,” Opt. Eng. 46(9), 093601 (2007). [CrossRef]
- M. Vannoni and G. Molesini, “Iterative algorithm for three flat test,” Opt. Express 15(11), 6809–6816 (2007). [CrossRef] [PubMed]
- M. Vannoni and G. Molesini, “Absolute planarity with three-flat test: an iterative approach with Zernike polynomials,” Opt. Express 16(1), 340–354 (2008). [CrossRef] [PubMed]
- International Bureau of Weights and Measures, International Electrotechnical Commission, International Federation of Clinical Chemistry, International Organization for Standardization, International Union of Pure and Applied Chemistry, International Union of Pure and Applied Physics, and International Organization of Legal Metrology, Guide to the Expression of Uncertainty in Measurements (International Organization for Standardization, Geneva, 1993).
- M. Vannoni and G. Molesini, “Three-flat test with plates in horizontal posture,” Appl. Opt. 47(12), 2133–2145 (2008). [CrossRef] [PubMed]
- W. A. Bassali and H. G. Eggleston, “The transverse flexure of thin elastic plates supported at several points,” Proc. Camb. Philos. Soc. 53(03), 728–742 (1957). [CrossRef]
- H. A. Barnes, J. F. Hutton, and K. Walters, An Introduction to Rheology (Elsevier, Amsterdam 1989), p. 11.
- L. Landau, and E. Lifchitz, Théorie de l’Élasticité (MIR, Moscow 1967), p. 201.
- J. Langer, “The mysterious glass transition,” Phys. Today 60(2), 8–9 (2007). [CrossRef]
- N. J. Wagner and J. F. Brady, “Shear thickening in colloidal dispersions,” Phys. Today 62(10), 27–32 (2009). [CrossRef]
- D. A. Ketelsen and D. S. Anderson, “Optical testing with large liquid flats,” Proc. Soc. Photo Opt. Instrum. Eng. 966, 365–371 (1988).
- K. Numata, K. Yamamoto, H. Ishimoto, S. Otsuka, K. Kawabe, M. Ando, and K. Tsubono, “Systematic measurement of the intrinsic losses in various kinds of bulk fused silica,” Phys. Lett. A 327(4), 263–271 (2004). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- W. A. Bassali and H. G. Eggleston, “The transverse flexure of thin elastic plates supported at several points,” Proc. Camb. Philos. Soc. 53(03), 728–742 (1957). [CrossRef]
- J. W. Berthold, S. F. Jacobs, and M. A. Norton, “Dimensional stability of fused silica, Invar, and several ultralow thermal expansion materials,” Metrologia 13(1), 9–16 (1977). [CrossRef]
- J. W. Berthold, S. F. Jacobs, and M. A. Norton, “Dimensional stability of fused silica, Invar, and several ultralow thermal expansion materials,” Appl. Opt. 15(8), 1898–1899 (1976). [CrossRef]
- N. J. Wagner and J. F. Brady, “Shear thickening in colloidal dispersions,” Phys. Today 62(10), 27–32 (2009). [CrossRef]
- J. Yellowhair and J. H. Burge, “Analysis of a scanning pentaprism system for measurements of large flat mirrors,” Appl. Opt. 46(35), 8466–8474 (2007). [CrossRef] [PubMed]
- P. C. V. Mallik, C. Zhao, and J. H. Burge, “Measurement of a 2-meter flat using a pentaprism scanning system,” Opt. Eng. 46(2), 1–9 (2007). [CrossRef]
- G. D. Dew, “Some observations on the long-term stability of optical flat,” Opt. Acta (Lond.) 21, 609–614 (1974). [CrossRef]
- W. A. Bassali and H. G. Eggleston, “The transverse flexure of thin elastic plates supported at several points,” Proc. Camb. Philos. Soc. 53(03), 728–742 (1957). [CrossRef]
- M. Schulz and C. Elster, “Traceable multiple sensor system for measuring curved surface profiles with high accuracy and high lateral resolution,” Opt. Eng. 45(6), 1–3 (2006). [CrossRef]
- C. J. Evans, “Comment on the paper ‘Interferometric testing of optical surfaces: absolute measurement of flatness,” Opt. Eng. 37(6), 1880–1882 (1998). [CrossRef]
- R. E. Parks, L.-Z. Shao, and C. J. Evans, “Pixel-based absolute topography test for three flats,” Appl. Opt. 37(25), 5951–5956 (1998). [CrossRef]
- C. J. Evans and R. N. Kestner, “Test optics error removal,” Appl. Opt. 35(7), 1015–1021 (1996). [CrossRef] [PubMed]
- B. S. Fritz, “Absolute calibration of an optical flat,” Opt. Eng. 33, 379–383 (1984).
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- R. D. Geckeler, “Optimal use of pentaprism in highly accurate deflectometric scanning,” Meas. Sci. Technol. 18(1), 115–125 (2007). [CrossRef]
- U. Griesmann, Q. Wang, and J. Soons, “Three-flat tests including mounting-induced deformations,” Opt. Eng. 46(9), 093601 (2007). [CrossRef]
- U. Griesmann, “Three-flat test solutions based on simple mirror symmetry,” Appl. Opt. 45(23), 5856–5865 (2006). [CrossRef] [PubMed]
- J. Grzanna, “Absolute testing of optical flats at points on a square grid: error propagation,” Appl. Opt. 33(28), 6654–6661 (1994). [CrossRef] [PubMed]
- G. Schulz and J. Grzanna, “Absolute flatness testing by the rotation method with optimal measuring error compensation,” Appl. Opt. 31(19), 3767–3780 (1992). [CrossRef] [PubMed]
- J. Grzanna and G. Schulz, “Absolute testing of flatness standards at square-grid points,” Opt. Commun. 77(2-3), 107–112 (1990). [CrossRef]
- E. D. Zanotto and P. K. Gupta, “Do cathedral glasses flow? – Additional remarks,” Am. J. Phys. 67(3), 260–262 (1999). [CrossRef]
- P. Hariharan, “Interferometric testing of optical surfaces: absolute measurement of flatness,” Opt. Eng. 36(9), 2478–2481 (1997). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- K. Numata, K. Yamamoto, H. Ishimoto, S. Otsuka, K. Kawabe, M. Ando, and K. Tsubono, “Systematic measurement of the intrinsic losses in various kinds of bulk fused silica,” Phys. Lett. A 327(4), 263–271 (2004). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- J. W. Berthold, S. F. Jacobs, and M. A. Norton, “Dimensional stability of fused silica, Invar, and several ultralow thermal expansion materials,” Metrologia 13(1), 9–16 (1977). [CrossRef]
- J. W. Berthold, S. F. Jacobs, and M. A. Norton, “Dimensional stability of fused silica, Invar, and several ultralow thermal expansion materials,” Appl. Opt. 15(8), 1898–1899 (1976). [CrossRef]
- S. Jordan, “The GAIA project: Technique, performance and status,” Astron. Nachr. 329(9-10), 875–880 (2008). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- K. Numata, K. Yamamoto, H. Ishimoto, S. Otsuka, K. Kawabe, M. Ando, and K. Tsubono, “Systematic measurement of the intrinsic losses in various kinds of bulk fused silica,” Phys. Lett. A 327(4), 263–271 (2004). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- D. A. Ketelsen and D. S. Anderson, “Optical testing with large liquid flats,” Proc. Soc. Photo Opt. Instrum. Eng. 966, 365–371 (1988).
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. F. Küchel, “A new approach to solve the three flat problem,” Optik (Stuttg.) 112(9), 381–391 (2001). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- J. Langer, “The mysterious glass transition,” Phys. Today 60(2), 8–9 (2007). [CrossRef]
- P. C. V. Mallik, C. Zhao, and J. H. Burge, “Measurement of a 2-meter flat using a pentaprism scanning system,” Opt. Eng. 46(2), 1–9 (2007). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Vannoni and G. Molesini, “Three-flat test with plates in horizontal posture,” Appl. Opt. 47(12), 2133–2145 (2008). [CrossRef] [PubMed]
- M. Vannoni and G. Molesini, “Absolute planarity with three-flat test: an iterative approach with Zernike polynomials,” Opt. Express 16(1), 340–354 (2008). [CrossRef] [PubMed]
- M. Vannoni and G. Molesini, “Iterative algorithm for three flat test,” Opt. Express 15(11), 6809–6816 (2007). [CrossRef] [PubMed]
- M. Vannoni and G. Molesini, “Validation of absolute planarity reference plates with a liquid mirror,” Metrologia 42(5), 389–393 (2005). [CrossRef]
- V. Greco, R. Tronconi, C. D. Vecchio, M. Trivi, and G. Molesini, “Absolute measurement of planarity with Fritz’s method: uncertainty evaluation,” Appl. Opt. 38(10), 2018–2027 (1999). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- J. W. Berthold, S. F. Jacobs, and M. A. Norton, “Dimensional stability of fused silica, Invar, and several ultralow thermal expansion materials,” Metrologia 13(1), 9–16 (1977). [CrossRef]
- J. W. Berthold, S. F. Jacobs, and M. A. Norton, “Dimensional stability of fused silica, Invar, and several ultralow thermal expansion materials,” Appl. Opt. 15(8), 1898–1899 (1976). [CrossRef]
- K. Numata, K. Yamamoto, H. Ishimoto, S. Otsuka, K. Kawabe, M. Ando, and K. Tsubono, “Systematic measurement of the intrinsic losses in various kinds of bulk fused silica,” Phys. Lett. A 327(4), 263–271 (2004). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- K. Numata, K. Yamamoto, H. Ishimoto, S. Otsuka, K. Kawabe, M. Ando, and K. Tsubono, “Systematic measurement of the intrinsic losses in various kinds of bulk fused silica,” Phys. Lett. A 327(4), 263–271 (2004). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Pasachoff, “Comment on ‘Do cathedral glasses flow?’,” Am. J. Phys. 66(11), 1021 (1998). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- G. Schulz, “Absolute flatness testing by an extended rotation method using two angles of rotation,” Appl. Opt. 32(7), 1055–1059 (1993). [CrossRef] [PubMed]
- G. Schulz and J. Grzanna, “Absolute flatness testing by the rotation method with optimal measuring error compensation,” Appl. Opt. 31(19), 3767–3780 (1992). [CrossRef] [PubMed]
- J. Grzanna and G. Schulz, “Absolute testing of flatness standards at square-grid points,” Opt. Commun. 77(2-3), 107–112 (1990). [CrossRef]
- G. Schulz, J. Schwider, C. Hiller, and B. Kicker, “Establishing an optical flatness standard,” Appl. Opt. 10(4), 929–934 (1971). [CrossRef] [PubMed]
- G. Schulz and J. Schwider, “Precise measurement of planeness,” Appl. Opt. 6(6), 1077–1084 (1967). [CrossRef] [PubMed]
- M. Schulz and C. Elster, “Traceable multiple sensor system for measuring curved surface profiles with high accuracy and high lateral resolution,” Opt. Eng. 45(6), 1–3 (2006). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- U. Griesmann, Q. Wang, and J. Soons, “Three-flat tests including mounting-induced deformations,” Opt. Eng. 46(9), 093601 (2007). [CrossRef]
- Y. M. Stokes, “Flowing windowpanes: a comparison of Newtonian and Maxwell fluid models,” Proc. R. Soc. Lond. A 456(2000), 1861–1864 (2000). [CrossRef]
- Y. M. Stokes, “Flowing windowpanes: fact or fiction?” Proc. R. Soc. Lond. A 455(1987), 2751–2756 (1999). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- K. Numata, K. Yamamoto, H. Ishimoto, S. Otsuka, K. Kawabe, M. Ando, and K. Tsubono, “Systematic measurement of the intrinsic losses in various kinds of bulk fused silica,” Phys. Lett. A 327(4), 263–271 (2004). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Vannoni and G. Molesini, “Absolute planarity with three-flat test: an iterative approach with Zernike polynomials,” Opt. Express 16(1), 340–354 (2008). [CrossRef] [PubMed]
- M. Vannoni and G. Molesini, “Three-flat test with plates in horizontal posture,” Appl. Opt. 47(12), 2133–2145 (2008). [CrossRef] [PubMed]
- M. Vannoni and G. Molesini, “Iterative algorithm for three flat test,” Opt. Express 15(11), 6809–6816 (2007). [CrossRef] [PubMed]
- M. Vannoni and G. Molesini, “Validation of absolute planarity reference plates with a liquid mirror,” Metrologia 42(5), 389–393 (2005). [CrossRef]
- N. J. Wagner and J. F. Brady, “Shear thickening in colloidal dispersions,” Phys. Today 62(10), 27–32 (2009). [CrossRef]
- U. Griesmann, Q. Wang, and J. Soons, “Three-flat tests including mounting-induced deformations,” Opt. Eng. 46(9), 093601 (2007). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- K. Numata, K. Yamamoto, H. Ishimoto, S. Otsuka, K. Kawabe, M. Ando, and K. Tsubono, “Systematic measurement of the intrinsic losses in various kinds of bulk fused silica,” Phys. Lett. A 327(4), 263–271 (2004). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- E. D. Zanotto and P. K. Gupta, “Do cathedral glasses flow? – Additional remarks,” Am. J. Phys. 67(3), 260–262 (1999). [CrossRef]
- E. D. Zanotto, “Do cathedral glasses flow?” Am. J. Phys. 66(5), 392–395 (1998). [CrossRef]
- P. C. V. Mallik, C. Zhao, and J. H. Burge, “Measurement of a 2-meter flat using a pentaprism scanning system,” Opt. Eng. 46(2), 1–9 (2007). [CrossRef]
Am. J. Phys.
- E. D. Zanotto, “Do cathedral glasses flow?” Am. J. Phys. 66(5), 392–395 (1998). [CrossRef]
- M. Pasachoff, “Comment on ‘Do cathedral glasses flow?’,” Am. J. Phys. 66(11), 1021 (1998). [CrossRef]
- E. D. Zanotto and P. K. Gupta, “Do cathedral glasses flow? – Additional remarks,” Am. J. Phys. 67(3), 260–262 (1999). [CrossRef]
Appl. Opt.
- R. Kitamura, L. Pilon, and M. Jonasz, “Optical constants of silica glass from extreme ultraviolet to far infrared at near room temperature,” Appl. Opt. 46(33), 8118–8133 (2007). [CrossRef] [PubMed]
- J. W. Berthold, S. F. Jacobs, and M. A. Norton, “Dimensional stability of fused silica, Invar, and several ultralow thermal expansion materials,” Appl. Opt. 15(8), 1898–1899 (1976). [CrossRef]
- I. Powell and E. Goulet, “Absolute figure measurements with a liquid-flat reference,” Appl. Opt. 37(13), 2579–2588 (1998). [CrossRef]
- J. Yellowhair and J. H. Burge, “Analysis of a scanning pentaprism system for measurements of large flat mirrors,” Appl. Opt. 46(35), 8466–8474 (2007). [CrossRef] [PubMed]
- G. Schulz and J. Schwider, “Precise measurement of planeness,” Appl. Opt. 6(6), 1077–1084 (1967). [CrossRef] [PubMed]
- G. Schulz, J. Schwider, C. Hiller, and B. Kicker, “Establishing an optical flatness standard,” Appl. Opt. 10(4), 929–934 (1971). [CrossRef] [PubMed]
- G. Schulz and J. Grzanna, “Absolute flatness testing by the rotation method with optimal measuring error compensation,” Appl. Opt. 31(19), 3767–3780 (1992). [CrossRef] [PubMed]
- G. Schulz, “Absolute flatness testing by an extended rotation method using two angles of rotation,” Appl. Opt. 32(7), 1055–1059 (1993). [CrossRef] [PubMed]
- J. Grzanna, “Absolute testing of optical flats at points on a square grid: error propagation,” Appl. Opt. 33(28), 6654–6661 (1994). [CrossRef] [PubMed]
- B. B. Oreb, D. I. Farrant, C. J. Walsh, G. Forbes, and P. S. Fairman, “Calibration of a 300-mm-aperture phase-shifting Fizeau interferometer,” Appl. Opt. 39(28), 5161–5171 (2000). [CrossRef]
- S. Sonozaki, K. Iwata, and Y. Iwahashi, “Measurement of profiles along a circle on two flat surfaces by use of a Fizeau interferometer with no standard,” Appl. Opt. 42(34), 6853–6858 (2003). [CrossRef] [PubMed]
- C. Ai and J. C. Wyant, “Absolute testing of flats by using even and odd functions,” Appl. Opt. 32(25), 4698–4705 (1993). [CrossRef] [PubMed]
- C. J. Evans and R. N. Kestner, “Test optics error removal,” Appl. Opt. 35(7), 1015–1021 (1996). [CrossRef] [PubMed]
- R. E. Parks, L.-Z. Shao, and C. J. Evans, “Pixel-based absolute topography test for three flats,” Appl. Opt. 37(25), 5951–5956 (1998). [CrossRef]
- V. Greco, R. Tronconi, C. D. Vecchio, M. Trivi, and G. Molesini, “Absolute measurement of planarity with Fritz’s method: uncertainty evaluation,” Appl. Opt. 38(10), 2018–2027 (1999). [CrossRef]
- K. R. Freischlad, “Absolute interferometric testing based on reconstruction of rotational shear,” Appl. Opt. 40(10), 1637–1648 (2001). [CrossRef]
- U. Griesmann, “Three-flat test solutions based on simple mirror symmetry,” Appl. Opt. 45(23), 5856–5865 (2006). [CrossRef] [PubMed]
- M. Vannoni and G. Molesini, “Three-flat test with plates in horizontal posture,” Appl. Opt. 47(12), 2133–2145 (2008). [CrossRef] [PubMed]
Astron. Nachr.
- S. Jordan, “The GAIA project: Technique, performance and status,” Astron. Nachr. 329(9-10), 875–880 (2008). [CrossRef]
J. Opt. Soc. Am.
- G. W. Morey, “The flow of glass at room temperature,” J. Opt. Soc. Am. 42(11), 856–857 (1952). [CrossRef]
Meas. Sci. Technol.
- R. D. Geckeler, “Optimal use of pentaprism in highly accurate deflectometric scanning,” Meas. Sci. Technol. 18(1), 115–125 (2007). [CrossRef]
Metrologia
- J. W. Berthold, S. F. Jacobs, and M. A. Norton, “Dimensional stability of fused silica, Invar, and several ultralow thermal expansion materials,” Metrologia 13(1), 9–16 (1977). [CrossRef]
- M. Vannoni and G. Molesini, “Validation of absolute planarity reference plates with a liquid mirror,” Metrologia 42(5), 389–393 (2005). [CrossRef]
Opt. Acta (Lond.)
- G. D. Dew, “Some observations on the long-term stability of optical flat,” Opt. Acta (Lond.) 21, 609–614 (1974). [CrossRef]
Opt. Commun.
- J. Grzanna and G. Schulz, “Absolute testing of flatness standards at square-grid points,” Opt. Commun. 77(2-3), 107–112 (1990). [CrossRef]
Opt. Eng.
- B. S. Fritz, “Absolute calibration of an optical flat,” Opt. Eng. 33, 379–383 (1984).
- P. Hariharan, “Interferometric testing of optical surfaces: absolute measurement of flatness,” Opt. Eng. 36(9), 2478–2481 (1997). [CrossRef]
- C. J. Evans, “Comment on the paper ‘Interferometric testing of optical surfaces: absolute measurement of flatness,” Opt. Eng. 37(6), 1880–1882 (1998). [CrossRef]
- M. Schulz and C. Elster, “Traceable multiple sensor system for measuring curved surface profiles with high accuracy and high lateral resolution,” Opt. Eng. 45(6), 1–3 (2006). [CrossRef]
- P. C. V. Mallik, C. Zhao, and J. H. Burge, “Measurement of a 2-meter flat using a pentaprism scanning system,” Opt. Eng. 46(2), 1–9 (2007). [CrossRef]
- U. Griesmann, Q. Wang, and J. Soons, “Three-flat tests including mounting-induced deformations,” Opt. Eng. 46(9), 093601 (2007). [CrossRef]
Opt. Express
- M. Vannoni and G. Molesini, “Iterative algorithm for three flat test,” Opt. Express 15(11), 6809–6816 (2007). [CrossRef] [PubMed]
- M. Vannoni and G. Molesini, “Absolute planarity with three-flat test: an iterative approach with Zernike polynomials,” Opt. Express 16(1), 340–354 (2008). [CrossRef] [PubMed]
Optik (Stuttg.)
- M. F. Küchel, “A new approach to solve the three flat problem,” Optik (Stuttg.) 112(9), 381–391 (2001). [CrossRef]
Phys. Lett. A
- K. Numata, K. Yamamoto, H. Ishimoto, S. Otsuka, K. Kawabe, M. Ando, and K. Tsubono, “Systematic measurement of the intrinsic losses in various kinds of bulk fused silica,” Phys. Lett. A 327(4), 263–271 (2004). [CrossRef]
Phys. Rev. Lett.
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
Phys. Today
- J. Langer, “The mysterious glass transition,” Phys. Today 60(2), 8–9 (2007). [CrossRef]
- N. J. Wagner and J. F. Brady, “Shear thickening in colloidal dispersions,” Phys. Today 62(10), 27–32 (2009). [CrossRef]
Proc. Camb. Philos. Soc.
- W. A. Bassali and H. G. Eggleston, “The transverse flexure of thin elastic plates supported at several points,” Proc. Camb. Philos. Soc. 53(03), 728–742 (1957). [CrossRef]
Proc. R. Soc. Lond. A
- Y. M. Stokes, “Flowing windowpanes: fact or fiction?” Proc. R. Soc. Lond. A 455(1987), 2751–2756 (1999). [CrossRef]
- Y. M. Stokes, “Flowing windowpanes: a comparison of Newtonian and Maxwell fluid models,” Proc. R. Soc. Lond. A 456(2000), 1861–1864 (2000). [CrossRef]
Proc. Soc. Photo Opt. Instrum. Eng.
- D. A. Ketelsen and D. S. Anderson, “Optical testing with large liquid flats,” Proc. Soc. Photo Opt. Instrum. Eng. 966, 365–371 (1988).
Other
- B. Mysen, and P. Richet, Silicate Glasses and Melts (Elsevier, Amsterdam 2005).
- H. A. Barnes, J. F. Hutton, and K. Walters, An Introduction to Rheology (Elsevier, Amsterdam 1989), p. 11.
- L. Landau, and E. Lifchitz, Théorie de l’Élasticité (MIR, Moscow 1967), p. 201.
- International Bureau of Weights and Measures, International Electrotechnical Commission, International Federation of Clinical Chemistry, International Organization for Standardization, International Union of Pure and Applied Chemistry, International Union of Pure and Applied Physics, and International Organization of Legal Metrology, Guide to the Expression of Uncertainty in Measurements (International Organization for Standardization, Geneva, 1993).
2009, Wagner, Phys. Today
- N. J. Wagner and J. F. Brady, “Shear thickening in colloidal dispersions,” Phys. Today 62(10), 27–32 (2009). [CrossRef]
- S. Jordan, “The GAIA project: Technique, performance and status,” Astron. Nachr. 329(9-10), 875–880 (2008). [CrossRef]
- P. C. V. Mallik, C. Zhao, and J. H. Burge, “Measurement of a 2-meter flat using a pentaprism scanning system,” Opt. Eng. 46(2), 1–9 (2007). [CrossRef]
- R. D. Geckeler, “Optimal use of pentaprism in highly accurate deflectometric scanning,” Meas. Sci. Technol. 18(1), 115–125 (2007). [CrossRef]
- J. Langer, “The mysterious glass transition,” Phys. Today 60(2), 8–9 (2007). [CrossRef]
- U. Griesmann, Q. Wang, and J. Soons, “Three-flat tests including mounting-induced deformations,” Opt. Eng. 46(9), 093601 (2007). [CrossRef]
- M. Schulz and C. Elster, “Traceable multiple sensor system for measuring curved surface profiles with high accuracy and high lateral resolution,” Opt. Eng. 45(6), 1–3 (2006). [CrossRef]
- M. Vannoni and G. Molesini, “Validation of absolute planarity reference plates with a liquid mirror,” Metrologia 42(5), 389–393 (2005). [CrossRef]
- K. Numata, K. Yamamoto, H. Ishimoto, S. Otsuka, K. Kawabe, M. Ando, and K. Tsubono, “Systematic measurement of the intrinsic losses in various kinds of bulk fused silica,” Phys. Lett. A 327(4), 263–271 (2004). [CrossRef]
- M. Ando, K. Arai, R. Takahashi, G. Heinzel, S. Kawamura, D. Tatsumi, N. Kanda, H. Tagoshi, A. Araya, H. Asada, Y. Aso, M. A. Barton, M. K. Fujimoto, M. Fukushima, T. Futamase, K. Hayama, G. Horikoshi, H. Ishizuka, N. Kamikubota, K. Kawabe, N. Kawashima, Y. Kobayashi, Y. Kojima, K. Kondo, Y. Kozai, K. Kuroda, N. Matsuda, N. Mio, K. Miura, O. Miyakawa, S. M. Miyama, S. Miyoki, S. Moriwaki, M. Musha, S. Nagano, K. Nakagawa, T. Nakamura, K. Nakao, K. Numata, Y. Ogawa, M. Ohashi, N. Ohishi, S. Okutomi, K. Oohara, S. Otsuka, Y. Saito, M. Sasaki, S. Sato, A. Sekiya, M. Shibata, K. Somiya, T. Suzuki, A. Takamori, T. Tanaka, S. Taniguchi, S. Telada, K. Tochikubo, T. Tomaru, K. Tsubono, N. Tsuda, T. Uchiyama, A. Ueda, K. Ueda, K. Waseda, Y. Watanabe, H. Yakura, K. Yamamoto, T. Yamazaki, and TAMA Collaboration, “Stable operation of a 300-m laser interferometer with sufficient sensitivity to detect gravitational-wave events within our galaxy,” Phys. Rev. Lett. 86(18), 3950–3954 (2001). [CrossRef] [PubMed]
- M. F. Küchel, “A new approach to solve the three flat problem,” Optik (Stuttg.) 112(9), 381–391 (2001). [CrossRef]
- Y. M. Stokes, “Flowing windowpanes: a comparison of Newtonian and Maxwell fluid models,” Proc. R. Soc. Lond. A 456(2000), 1861–1864 (2000). [CrossRef]
- E. D. Zanotto and P. K. Gupta, “Do cathedral glasses flow? – Additional remarks,” Am. J. Phys. 67(3), 260–262 (1999). [CrossRef]
- Y. M. Stokes, “Flowing windowpanes: fact or fiction?” Proc. R. Soc. Lond. A 455(1987), 2751–2756 (1999). [CrossRef]
- C. J. Evans, “Comment on the paper ‘Interferometric testing of optical surfaces: absolute measurement of flatness,” Opt. Eng. 37(6), 1880–1882 (1998). [CrossRef]
- E. D. Zanotto, “Do cathedral glasses flow?” Am. J. Phys. 66(5), 392–395 (1998). [CrossRef]
- M. Pasachoff, “Comment on ‘Do cathedral glasses flow?’,” Am. J. Phys. 66(11), 1021 (1998). [CrossRef]
- P. Hariharan, “Interferometric testing of optical surfaces: absolute measurement of flatness,” Opt. Eng. 36(9), 2478–2481 (1997). [CrossRef]
- J. Grzanna and G. Schulz, “Absolute testing of flatness standards at square-grid points,” Opt. Commun. 77(2-3), 107–112 (1990). [CrossRef]
- D. A. Ketelsen and D. S. Anderson, “Optical testing with large liquid flats,” Proc. Soc. Photo Opt. Instrum. Eng. 966, 365–371 (1988).
- B. S. Fritz, “Absolute calibration of an optical flat,” Opt. Eng. 33, 379–383 (1984).
- J. W. Berthold, S. F. Jacobs, and M. A. Norton, “Dimensional stability of fused silica, Invar, and several ultralow thermal expansion materials,” Metrologia 13(1), 9–16 (1977). [CrossRef]
- G. D. Dew, “Some observations on the long-term stability of optical flat,” Opt. Acta (Lond.) 21, 609–614 (1974). [CrossRef]
- W. A. Bassali and H. G. Eggleston, “The transverse flexure of thin elastic plates supported at several points,” Proc. Camb. Philos. Soc. 53(03), 728–742 (1957). [CrossRef]
Cited By |
OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.
Multimedia
| Multimedia Files | Recommended Software |
| » Media 1: AVI (3803 KB) | QuickTime |
| » Media 2: AVI (3803 KB) | QuickTime |
Related Journal Articles 
- Absolute Measurement of Planarity with Fritz’s Method: Uncertainty Evaluation (AO)
- Calibration of a 300-mm-Aperture Phase-Shifting Fizeau Interferometer (AO)
- Iterative algorithm for three flat test (OE)
- Absolute planarity with three-flat test: an iterative approach with Zernike polynomials (OE)
- Three-flat test with plates in horizontal posture (AO)
Related Conference Papers 
- A Light Source for the 1S0-3P0 Optical Clock Transition in Ytterbium
- Metrology for the Space Interferometry Mission
- High Sensitivity Vibration Measurements with Absolute Calibration
- High-Accuracy Form Measurement with Multiple Sensor Systems
- Absolute Testing of a Cylinder Surface in Grazing Incidence
- Firefox 11+
- Google Chrome 17+
- Internet Explorer 9+
- Safari 5+




OSA is a member of 