OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 34, Iss. 25 — Sep. 1, 1995
  • pp: 5611–5619

Accurate measurement of the radius of curvature of a concave mirror and the power dependence in a high-finesse Fabry–Perot interferometer

N. Uehara and K. Ueda  »View Author Affiliations

Applied Optics, Vol. 34, Issue 25, pp. 5611-5619 (1995)

View Full Text Article

Enhanced HTML    Acrobat PDF (883 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We describe the accurate measurement of the radius of curvature of a concave mirror in a Fabry–Perot interferometer with a finesse of 78,100. The radius of curvature of the concave mirror is determined by measuring the free spectral range and the transverse-mode range with the frequency response functions. The radii of curvature at two orthogonal (x and y) axes on the mirror surface resulting from the polishing nonisotropy were accurately measured to be r x = 1008.46 mm and r y = 1006.94 mm, respectively, with an accuracy of 8 × 10−5. This accuracy is the best to our knowledge. The power dependence of the radii of curvature to the cavity internal intensity at a steady state was measured to be dr x /dI c = +60 μm/(MW/cm2) at the x axis and dr y /dI c = +47 μm/(MW/cm/2) at the y axis to an intensity of 2.1 MW/cm2.

© 1995 Optical Society of America

Original Manuscript: November 2, 1994
Revised Manuscript: February 9, 1995
Published: September 1, 1995

N. Uehara and K. Ueda, "Accurate measurement of the radius of curvature of a concave mirror and the power dependence in a high-finesse Fabry–Perot interferometer," Appl. Opt. 34, 5611-5619 (1995)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. K. S. Thorne, “Gravitational radiation,” in 300 Years of Gravitation, S. W. Hawking, W. Israel, eds. (Cambridge U. Press, Cambridge, UK, 1987), Chap. 9, pp. 330–458.
  2. D. Shoemaker, R. Schilling, L. Schnupp, W. Winkler, K. Maischberger, A. Rüdiger, “Noise behavior of the Garching 30-meter prototype gravitational wave detector,” Phys. Rev. D 38, 423–432 (1988). [CrossRef]
  3. A. Abramovici, W. E. Althouse, R. W. P. Drever, Y. Gürsel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, K. S. Thorne, R. E. Vogt, R. Weiss, S. E. Whitcomb, M. E. Zucker, “LIGO: the laser interferometer gravitational wave observatory,” Science 256, 325–333 (1992). [CrossRef] [PubMed]
  4. W. Winkler, K. Danzmann, A. Rüdiger, R. Schilling, “Heating by optical absorption and the performance of interferometric gravitational-wave detectors,” Phys. Rev. A 44, 7022–7036 (1988). [CrossRef]
  5. P. Hello, J. Y. Vinet, “Analytical models of transient thermoelastic deformations of mirrors heated by high power cw laser beams,” J. Phys. France 51, 2243–2261 (1990). [CrossRef]
  6. O. Prakash, R. S. Ram, “Modification of the conventional method for determination of the focal length of convex mirrors,” Appl. Opt. 33, 2091–2094 (1994). [CrossRef] [PubMed]
  7. H. Kogelnik, T. Li, “Laser beams and resonators,” Appl. Opt. 5, 1550–1567 (1966). [CrossRef] [PubMed]
  8. A. Yariv, Optical Electronics, (CBS College Publishing, New York, 1985), Chap. 4, pp. 88–92.
  9. A. E. Siegman, Lasers (University Science Books, Mill Valley, Calif., 1986), Chap. 19, pp. 761–766.
  10. R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munleyand, H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B 31, 97–105 (1983). [CrossRef]
  11. N. Uehara, K. Ueda, “Ultrahigh-frequency stabilization of a diode-pumped Nd:YAG laser with a high-power-acceptance photodetector,” Opt. Lett. 19, 728–730 (1994). [CrossRef] [PubMed]
  12. N. Uehara, K. Ueda, “Accurate measurement of ultralow loss in a high-finesse Fabry–Perot interferometer using the frequency response functions,” to be published in Appl. Phys. B.

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