OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 38, Iss. 13 — May. 1, 1999
  • pp: 2848–2856

Absolute-Length Determination of a Long-Baseline Fabry-Perot Cavity by Means of Resonating Modulation Sidebands

Akito Araya, Souichi Telada, Kuniharu Tochikubo, Shinsuke Taniguchi, Ryutaro Takahashi, Keita Kawabe, Daisuke Tatsumi, Toshitaka Yamazaki, Seiji Kawamura, Shinji Miyoki, Shigenori Moriwaki, Mitsuru Musha, Shigeo Nagano, Masa-Katsu Fujimoto, Kazuo Horikoshi, Norikatsu Mio, Yutaka Naito, Akiteru Takamori, and Kazuhiro Yamamoto  »View Author Affiliations


Applied Optics, Vol. 38, Issue 13, pp. 2848-2856 (1999)
http://dx.doi.org/10.1364/AO.38.002848


View Full Text Article

Acrobat PDF (147 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A new method has been demonstrated for absolute-length measurements of a long-baseline Fabry–Perot cavity by use of phase-modulated light. This method is based on determination of a free spectral range (FSR) of the cavity from the frequency difference between a carrier and phase-modulation sidebands, both of which resonate in the cavity. Sensitive response of the Fabry–Perot cavity near resonant frequencies ensures accurate determination of the FSR and thus of the absolute length of the cavity. This method was applied to a 300-m Fabry–Perot cavity of the TAMA gravitational wave detector that is being developed at the National Astronomical Observatory, Tokyo. With a modulation frequency of ~12 MHz, we successfully determined the absolute cavity length with resolution of 1 μm (3 × 10−9 in strain) and observed local ground strain variations of 6 × 10−8.

© 1999 Optical Society of America

OCIS Codes
(120.2230) Instrumentation, measurement, and metrology : Fabry-Perot
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.5060) Instrumentation, measurement, and metrology : Phase modulation

Citation
Akito Araya, Souichi Telada, Kuniharu Tochikubo, Shinsuke Taniguchi, Ryutaro Takahashi, Keita Kawabe, Daisuke Tatsumi, Toshitaka Yamazaki, Seiji Kawamura, Shinji Miyoki, Shigenori Moriwaki, Mitsuru Musha, Shigeo Nagano, Masa-Katsu Fujimoto, Kazuo Horikoshi, Norikatsu Mio, Yutaka Naito, Akiteru Takamori, and Kazuhiro Yamamoto, "Absolute-Length Determination of a Long-Baseline Fabry-Perot Cavity by Means of Resonating Modulation Sidebands," Appl. Opt. 38, 2848-2856 (1999)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-38-13-2848


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. T. J. Quinn, “Mise en pratique of the definition of the metre (1992),” Metrologia 30, 523–541 (1994).
  2. A. N. Golubev, “Absolute laser interferometric distance measurement,” Survey Rev. 32, 109–117 (1993).
  3. E. Bergstrand, “Distance measuring by means of modulated light,” Bull. Geod. 24, 243–249 (1952).
  4. In this paper we assume that the whole optical path is in vacuum to realize the most accurate measurement without correcting for the effects of the refractive index of the ambient air.
  5. K. M. Baird, “The role of interferometry in long distance measurement,” Metrologia 4, 135–144 (1968).
  6. I. Fujima, S. Iwasaki, and K. Seta, “High-resolution distance meter using optical intensity modulation at 28 GHz,” Meas. Sci. Tech. 9, 1049–1052 (1998).
  7. H. Kogelnik and T. Li, “Laser beams and resonators,” Appl. Opt. 5, 1550–1567 (1966).
  8. R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B 31, 97–105 (1983).
  9. S. Telada, “Development of a mode cleaner for a laser interferometer gravitational wave detector,” Ph.D. dissertation (Graduate University for Advanced Studies, Tokyo, 1997), pp. 32–38.
  10. K. Tsubono and the TAMA collaboration, “TAMA project,” in Gravitational Wave Detection: Proceedings of the TAMA International Workshop on Gravitational Wave Detection, K. Tsubono, M.-K. Fujimoto, and K. Kuroda, eds. (Universal Academy Press, Tokyo, 1997), pp. 183–191.
  11. The name of the project is derived from the region where the detector is located.
  12. The mirrors are 100 mm in diameter and 60 mm long. The input mirror is flat, and the end mirror is concave with a radius of curvature of 450 m.
  13. R. Takahashi, F. Kuwahara, and K. Kuroda, “Vibration isolation stack for TAMA300,” in Gravitational Wave Detection: Proceedings of the TAMA International Workshop on Gravitational Wave Detection, K. Tsubono, M.-K. Fujimoto, and K. Kuroda, eds. (Universal Academy Press, Tokyo, 1997), pp. 95–102.
  14. E. Morrison, B. J. Meers, D. I. Robertson, and H. Ward, “Automatic alignment of optical interferometers,” Appl. Opt. 33, 5041–5049 (1994).
  15. K. Tochikubo, A. Sasaki, K. Kawabe, and K. Tsubono, “Automatic alignment control for the TAMA interferometer,” in Gravitational Wave Detection: Proceedings of the TAMA International Workshop on Gravitational Wave Detection, K. Tsubono, M.-K. Fujimoto, and K. Kuroda, eds. (Universal Academy Press, Tokyo, 1997), pp. 365–367.
  16. Groundwater is utilized by a hospital located in the vicinity of the National Astronomical Observatory, Tokyo. The groundwater pump is activated automatically when the water reservoir becomes near empty, typically 11 to 14 times in the daytime. The depth of the well is ~90 m, and about 15 m3 of water is pumped up from a 60-m depth for every pumping cycle.
  17. S. Takemoto, H. Doi, and K. Hirahara, “Observation of ground-strains using a laser extensometer system installed in shallow trenches,” J. Geod. Soc. Jpn. 31, 295–304 (1985).
  18. G. P. Barwood, P. Gill, and W. R. C. Rowley, “High-accuracy length metrology using multiple-stage swept-frequency interferometry with laser diodes,” Meas. Sci. Technol. 9, 1036–1041 (1998).
  19. S. Sato, S. Miyoki, M. Ohashi, M.-K. Fujimoto, T. Yamazaki, M. Fukushima, A. Ueda, K. Ueda, K. Watanabe, K. Nakamura, K. Etoh, N. Kitajima, K. Ito, and I. Kataoka, “Loss factors of mirrors for a gravitational wave antenna,” Appl. Opt. 38, 2880–2885 (1999).
  20. H. Benioff, “A linear strain seismograph,” Bull. Seismol. Soc. Am. 25, 283–309 (1935).
  21. V. Vali and R. C. Bostrom, “One thousand meter laser interferometer,” Rev. Sci. Instrum. 39, 1304–1306 (1968).

Cited By

Alert me when this paper is cited

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited