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

Applied Optics

Volumn 36, Issue 22, 1997, Pages 5325-5334

  Dhurandhar, S V ^a   Hello, P ^b   Sathyaprakash, B S ^a   Vinet, J Y ^b,c  

^a INTER UNIVERSITY CENTRE FOR ASTRONOMY AND ASTROPHYSICS   (India)

^b UNIVERSITÉ PARIS SUD   (France)

^c LABORATOIRE D OPTIQUE APPLIQUÉE   (France)

Author keywords

Fabry Perot cavity; Interferometric gravitational wave detectors; Thermal effects

Indexed keywords

EID: 0000039936     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.36.005325     Document Type: Article

References (23)

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, and G. Natal, “The VIRGO project: a wide band antenna for gravitational wave detection, ” Nucl. Instrum. Methods A 256, 518-525 (1990).
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, and M. E. Zucker, “The laser interferometer gravitational-wave observatory, ” Science 256, 325-333 (1992).
3. K. Danzmann, H. Luck, A. Rüdiger, R. Schilling, M. Schrem-pel, 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. Tunnermann, and B. Wilke, “GEO 600: a 600 m laser interferometric gravitational wave antenna, ” in Gravitational Wave Experiments, E. Coccia, G. Pizzella, and F. Ronga, eds. (World Scientific, Singapore, 1996).
4. R. W. P. Drever, “Interferometric detectors for gravitational radiation, ” in Gravitational Radiation, N. Deruelle and T. Piran, eds. (North-Holland, Amsterdam, 1982).
5. G. Rempe, R. J. Thompson, H. J. Kimble, and R. Lalezari, “Measurements of ultralow losses in an optical interferometer, ” Opt. Lett. 17, 363-365 (1992).
6. -6 level at 1064 nm, ” Opt. Lett. 20, 530-532 (1995).
7. W. Winkler, K. Danzmann, A. Rudiger, and R. Schilling, “Heating by optical absorption and the performance of inter-ferometric gravitational-wave detectors, ” Phys. Rev. A 44, 7022-7036 (1991).
8. P. Hello and J.-Y. Vinet, “Simulation of thermal effects in interferometric gravitational-wave detectors, ” Phys. Lett. A 178, 351-356 (1993).
9. S. L. McCall, “Instabilities in continuous-wave light propagation in absorbing media, ” Phys. Rev. A 9, 1515-1523 (1974).
10. J. H. Marburger and F. S. Felber, “Theory of a lossless nonlinear Fabry-Perot interferometer, ” Phys. Rev. A 17, 335-342 (1978).
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).
12. J. R. Ackerhalt, P. W. Milonni, and M.-L. Shih, “Chaos in quantum optics, ” Phys. Rep. 128, 205-300 (1985).
13. A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, and H. Walther, “Optical bistability and mirror confinement induced by radiation pressure, ” Phys. Rev. Lett. 51, 1550-1553 (1985).
14. N. Deruelle and 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 and L. Bel, “Delay-induced instability in a pendular Fabry-Perot cavity, ” Phys. Rev. A 36, 3768-3770 (1987).
16. B. J. Meers and N. McDonald, “Potential radiation pressure induced instabilities in cavity interferometers, ” Phys. Rev. A 40, 3754-3763 (1989).
17. A. Cutolo, P. Gay, and S. Solimeno, “Mirror deformations and wavefront aberrations caused by c.w. high power laser beams, ” Opt. Acta 27, 1105-1116 (1980).
18. C. J. Myers and R. C. Allen, “Development of an analytical mirror model addressing the problem of thermoelastic deformation, ” Appl. Opt. 24, 1933-1939 (1985).
19. P. Hello and J.-Y. Vinet, “Analytical models of thermal aberrations in massive mirrors heated by high power laser beams, ” J. Phys. (Paris) 51, 1267-1282 (1990).
20. P. Hello and 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).
21. A. D. Kovalenko, Thermoelasticity-Basic Theory and Applications (Walters-Noordhoff, Groningen, 1969).
22. W. Winkler, A. Rüdiger, R. Schilling, K. A. Strain, and K. Danzmann, “Birefringence-induced losses in interferometers, ” Opt. Commun. 112, 245-252 (1994).
23. V. Chickarmane, S. V. Dhürandhar, R. Barillet, P. Hello, and J.-Y. Vinet, “Radiation pressure and stability of interferomet-ric gravitational-wave detectors, ” submitted to Appl. Opt.