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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 36, Iss. 22 — Aug. 1, 1997
  • pp: 5325–5334

Stability of giant Fabry–Perot cavities of interferometric gravitational-wave detectors

S. V. Dhurandhar, P. Hello, B. S. Sathyaprakash, and J.-Y. Vinet  »View Author Affiliations


Applied Optics, Vol. 36, Issue 22, pp. 5325-5334 (1997)
http://dx.doi.org/10.1364/AO.36.005325


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Abstract

We consider the coupling of the thermoelastic mirror deformations to the resonance of giant cavities involved in interferometric detectors of gravitational waves. As this problem is coupled and nonlinear, instabilities could occur a priori. We analytically solve the coupled problem of thermoelastic deformations and their effect on the laser field, perturbatively, and we show that within the realm of our (physically reasonable) assumptions there are no instabilities that can simulate a false event in the observational frequency range of 1 Hz to 1 kHz.

© 1997 Optical Society of America

History
Original Manuscript: September 11, 1996
Revised Manuscript: December 6, 1996
Published: August 1, 1997

Citation
S. V. Dhurandhar, P. Hello, B. S. Sathyaprakash, and J.-Y. Vinet, "Stability of giant Fabry–Perot cavities of interferometric gravitational-wave detectors," Appl. Opt. 36, 5325-5334 (1997)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-36-22-5325


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References

  1. C. Bradaschia, R. Del Fabbro, A. Di Virgilio, A. Giazotto, H. Kautzky, V. Montelatici, D. Pasuello, A. Brillet, O. Cregut, P. Hello, C. N. Man, P. T. Manh, A. Marraud, D. Shoemaker, J.-Y. Vinet, F. Barone, L. Di Fiore, L. Milano, G. Russo, J. M. Aguirregabiria, H. Bel, J. P. Duruisseau, G. Le Denmat, Ph. Tourrenc, M. Capozzi, M. Longo, M. Lops, I. Pinto, G. Rotoli, T. Damour, S. Bonazzola, J. A. Marck, E. Gourgoulhon, L. E. Holloway, F. Fuligni, V. Iafolla, G. Natal, “The VIRGO project: a wide band antenna for gravitational wave detection,” Nucl. Instrum. Methods A 256, 518–525 (1990). [CrossRef]
  2. A. Abramovici, W. E. Althouse, R. W. P. Drever, Y. Gursel, 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, “The laser interferometer gravitational-wave observatory,” Science 256, 325–333 (1992). [CrossRef] [PubMed]
  3. K. Danzmann, H. Lück, A. Rüdiger, R. Schilling, M. Schrempel, W. Winkler, J. Hough, G. P. Newton, N. A. Robertson, H. Ward, A. M. Campbell, J. E. Logan, D. I. Robertson, K. A. Strain, J. R. J. Bennett, V. Kose, M. Kühne, B. F. Schutz, D. Nicholson, J. Shuttleworth, H. Welling, P. Aufmuth, R. Rinkleff, A. Tünnermann, B. Wilke, “GEO 600: a 600 m laser interferometric gravitational wave antenna,” in Gravitational Wave Experiments, E. Coccia, G. Pizzella, F. Ronga, eds. (World Scientific, Singapore, 1996).
  4. R. W. P. Drever, “Interferometric detectors for gravitational radiation,” in Gravitational Radiation, N. Deruelle, T. Piran, eds. (North-Holland, Amsterdam, 1982).
  5. G. Rempe, R. J. Thompson, H. J. Kimble, R. Lalezari, “Measurements of ultralow losses in an optical interferometer,” Opt. Lett. 17, 363–365 (1992). [CrossRef] [PubMed]
  6. N. Uehara, A. Ueda, K. Ueda, H. Sekigushi, T. Mitake, K. Nakamura, N. Kitajima, I. Kataoka, “Ultralow-loss mirror of the parts-in-10-6 level at 1064 nm,” Opt. Lett. 20, 530–532 (1995). [CrossRef] [PubMed]
  7. W. Winkler, K. Danzmann, A. Rudiger, R. Schilling, “Heating by optical absorption and the performance of interferometric gravitational-wave detectors,” Phys. Rev. A 44, 7022–7036 (1991). [CrossRef] [PubMed]
  8. P. Hello, J.-Y. Vinet, “Simulation of thermal effects in interferometric gravitational-wave detectors,” Phys. Lett. A 178, 351–356 (1993). [CrossRef]
  9. S. L. McCall, “Instabilities in continuous-wave light propagation in absorbing media,” Phys. Rev. A 9, 1515–1523 (1974). [CrossRef]
  10. J. H. Marburger, F. S. Felber, “Theory of a lossless nonlinear Fabry-Perot interferometer,” Phys. Rev. A 17, 335–342 (1978). [CrossRef]
  11. K. Ikeda, “Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system,” Opt. Commun. 30, 257–261 (1979). [CrossRef]
  12. J. R. Ackerhalt, P. W. Milonni, M.-L. Shih, “Chaos in quantum optics,” Phys. Rep. 128, 205–300 (1985). [CrossRef]
  13. A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, H. Walther, “Optical bistability and mirror confinement induced by radiation pressure,” Phys. Rev. Lett. 51, 1550–1553 (1985). [CrossRef]
  14. N. Deruelle, P. Tourrenc, “The problem of the optical stability of a pendular Fabry-Perot,” in Gravitation, Geometry and Relativistic Physics, Laboratoire de Gravitation et Cosmologie Relativistes, Universite Pierre et Marie Curie, ed., Lecture Notes in Physics 212 (Springer-Verlag, Berlin, 1984).
  15. J. M. Aguirregabiria, L. Bel, “Delay-induced instability in a pendular Fabry-Perot cavity,” Phys. Rev. A 36, 3768–3770 (1987). [CrossRef] [PubMed]
  16. B. J. Meers, N. McDonald, “Potential radiation pressure induced instabilities in cavity interferometers,” Phys. Rev. A 40, 3754–3763 (1989). [CrossRef] [PubMed]
  17. A. Cutolo, P. Gay, S. Solimeno, “Mirror deformations and wavefront aberrations caused by c.w. high power laser beams,” Opt. Acta 27, 1105–1116 (1980). [CrossRef]
  18. C. J. Myers, R. C. Allen, “Development of an analytical mirror model addressing the problem of thermoelastic deformation,” Appl. Opt. 24, 1933–1939 (1985). [CrossRef] [PubMed]
  19. P. Hello, J.-Y. Vinet, “Analytical models of thermal aberrations in massive mirrors heated by high power laser beams,” J. Phys. (Paris) 51, 1267–1282 (1990). [CrossRef]
  20. P. Hello, J.-Y. Vinet, “Analytical models of transient thermoelastic deformations of mirrors heated by high power cw laser beams,” J. Phys. (Paris) 51, 2243–2261 (1990). [CrossRef]
  21. A. D. Kovalenko, Thermoelasticity–Basic Theory and Applications (Walters-Noordhoff, Groningen, 1969).
  22. W. Winkler, A. Rüdiger, R. Schilling, K. A. Strain, K. Danzmann, “Birefringence-induced losses in interferometers,” Opt. Commun. 112, 245–252 (1994). [CrossRef]
  23. V. Chickarmane, S. V. Dhurandhar, R. Barillet, P. Hello, J.-Y. Vinet, “Radiation pressure and stability of interferometric gravitational-wave detectors,” submitted to Appl. Opt.

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