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

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    [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).
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  8. P. Hello, J.-Y. Vinet, “Simulation of thermal effects in interferometric gravitational-wave detectors,” Phys. Lett. A 178, 351–356 (1993).
    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [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]
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    [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.

1995

1994

W. Winkler, A. Rüdiger, R. Schilling, K. A. Strain, K. Danzmann, “Birefringence-induced losses in interferometers,” Opt. Commun. 112, 245–252 (1994).
[CrossRef]

1993

P. Hello, J.-Y. Vinet, “Simulation of thermal effects in interferometric gravitational-wave detectors,” Phys. Lett. A 178, 351–356 (1993).
[CrossRef]

1992

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]

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]

1991

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]

1990

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]

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]

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]

1989

B. J. Meers, N. McDonald, “Potential radiation pressure induced instabilities in cavity interferometers,” Phys. Rev. A 40, 3754–3763 (1989).
[CrossRef] [PubMed]

1987

J. M. Aguirregabiria, L. Bel, “Delay-induced instability in a pendular Fabry-Perot cavity,” Phys. Rev. A 36, 3768–3770 (1987).
[CrossRef] [PubMed]

1985

J. R. Ackerhalt, P. W. Milonni, M.-L. Shih, “Chaos in quantum optics,” Phys. Rep. 128, 205–300 (1985).
[CrossRef]

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]

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]

1980

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]

1979

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]

1978

J. H. Marburger, F. S. Felber, “Theory of a lossless nonlinear Fabry-Perot interferometer,” Phys. Rev. A 17, 335–342 (1978).
[CrossRef]

1974

S. L. McCall, “Instabilities in continuous-wave light propagation in absorbing media,” Phys. Rev. A 9, 1515–1523 (1974).
[CrossRef]

Abramovici, A.

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]

Ackerhalt, J. R.

J. R. Ackerhalt, P. W. Milonni, M.-L. Shih, “Chaos in quantum optics,” Phys. Rep. 128, 205–300 (1985).
[CrossRef]

Aguirregabiria, J. M.

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]

J. M. Aguirregabiria, L. Bel, “Delay-induced instability in a pendular Fabry-Perot cavity,” Phys. Rev. A 36, 3768–3770 (1987).
[CrossRef] [PubMed]

Allen, R. C.

Althouse, W. E.

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]

Aufmuth, P.

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).

Barillet, R.

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.

Barone, F.

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]

Bel, H.

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]

Bel, L.

J. M. Aguirregabiria, L. Bel, “Delay-induced instability in a pendular Fabry-Perot cavity,” Phys. Rev. A 36, 3768–3770 (1987).
[CrossRef] [PubMed]

Bennett, J. R. J.

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).

Bonazzola, S.

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]

Bradaschia, C.

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]

Brillet, A.

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]

Campbell, A. M.

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).

Capozzi, M.

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]

Chickarmane, V.

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.

Cregut, O.

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]

Cutolo, A.

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]

Damour, T.

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]

Danzmann, K.

W. Winkler, A. Rüdiger, R. Schilling, K. A. Strain, K. Danzmann, “Birefringence-induced losses in interferometers,” Opt. Commun. 112, 245–252 (1994).
[CrossRef]

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]

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).

Del Fabbro, R.

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]

Deruelle, N.

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).

Dhurandhar, S. V.

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.

Di Fiore, L.

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]

Di Virgilio, A.

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]

Dorsel, A.

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]

Drever, R. W. P.

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).
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R. W. P. Drever, “Interferometric detectors for gravitational radiation,” in Gravitational Radiation, N. Deruelle, T. Piran, eds. (North-Holland, Amsterdam, 1982).

Duruisseau, J. P.

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]

Felber, F. S.

J. H. Marburger, F. S. Felber, “Theory of a lossless nonlinear Fabry-Perot interferometer,” Phys. Rev. A 17, 335–342 (1978).
[CrossRef]

Fuligni, F.

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).
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Gay, P.

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]

Giazotto, A.

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]

Gourgoulhon, E.

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]

Gursel, Y.

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]

Hello, P.

P. Hello, J.-Y. Vinet, “Simulation of thermal effects in interferometric gravitational-wave detectors,” Phys. Lett. A 178, 351–356 (1993).
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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).
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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]

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]

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.

Holloway, L. E.

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]

Hough, J.

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).

Iafolla, V.

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).
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Ikeda, K.

K. Ikeda, “Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system,” Opt. Commun. 30, 257–261 (1979).
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Kataoka, I.

Kautzky, H.

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]

Kawamura, S.

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]

Kimble, H. J.

Kitajima, N.

Kose, V.

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).

Kovalenko, A. D.

A. D. Kovalenko, Thermoelasticity–Basic Theory and Applications (Walters-Noordhoff, Groningen, 1969).

Kühne, M.

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).

Lalezari, R.

Le Denmat, G.

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]

Logan, J. E.

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).

Longo, M.

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]

Lops, M.

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]

Lück, H.

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).

Man, C. N.

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]

Manh, P. T.

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]

Marburger, J. H.

J. H. Marburger, F. S. Felber, “Theory of a lossless nonlinear Fabry-Perot interferometer,” Phys. Rev. A 17, 335–342 (1978).
[CrossRef]

Marck, J. A.

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]

Marraud, A.

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).
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McCall, S. L.

S. L. McCall, “Instabilities in continuous-wave light propagation in absorbing media,” Phys. Rev. A 9, 1515–1523 (1974).
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McCullen, J. D.

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]

McDonald, N.

B. J. Meers, N. McDonald, “Potential radiation pressure induced instabilities in cavity interferometers,” Phys. Rev. A 40, 3754–3763 (1989).
[CrossRef] [PubMed]

Meers, B. J.

B. J. Meers, N. McDonald, “Potential radiation pressure induced instabilities in cavity interferometers,” Phys. Rev. A 40, 3754–3763 (1989).
[CrossRef] [PubMed]

Meystre, P.

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]

Milano, L.

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).
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Milonni, P. W.

J. R. Ackerhalt, P. W. Milonni, M.-L. Shih, “Chaos in quantum optics,” Phys. Rep. 128, 205–300 (1985).
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Mitake, T.

Montelatici, V.

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]

Myers, C. J.

Nakamura, K.

Natal, G.

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]

Newton, G. P.

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).

Nicholson, D.

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).

Pasuello, D.

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]

Pinto, I.

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]

Raab, F. J.

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]

Rempe, G.

Rinkleff, R.

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).

Robertson, D. I.

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).

Robertson, N. A.

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).

Rotoli, G.

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]

Rudiger, A.

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]

Rüdiger, A.

W. Winkler, A. Rüdiger, R. Schilling, K. A. Strain, K. Danzmann, “Birefringence-induced losses in interferometers,” Opt. Commun. 112, 245–252 (1994).
[CrossRef]

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).

Russo, G.

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]

Schilling, R.

W. Winkler, A. Rüdiger, R. Schilling, K. A. Strain, K. Danzmann, “Birefringence-induced losses in interferometers,” Opt. Commun. 112, 245–252 (1994).
[CrossRef]

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]

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).

Schrempel, M.

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).

Schutz, B. F.

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).

Sekigushi, H.

Shih, M.-L.

J. R. Ackerhalt, P. W. Milonni, M.-L. Shih, “Chaos in quantum optics,” Phys. Rep. 128, 205–300 (1985).
[CrossRef]

Shoemaker, D.

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]

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]

Shuttleworth, J.

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).

Sievers, L.

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]

Solimeno, S.

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]

Spero, R. E.

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]

Strain, K. A.

W. Winkler, A. Rüdiger, R. Schilling, K. A. Strain, K. Danzmann, “Birefringence-induced losses in interferometers,” Opt. Commun. 112, 245–252 (1994).
[CrossRef]

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).

Thompson, R. J.

Thorne, K. S.

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).
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Tourrenc, P.

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).

Tourrenc, Ph.

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]

Tünnermann, A.

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).

Ueda, A.

Ueda, K.

Uehara, N.

Vignes, E.

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).
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Vinet, J.-Y.

P. Hello, J.-Y. Vinet, “Simulation of thermal effects in interferometric gravitational-wave detectors,” Phys. Lett. A 178, 351–356 (1993).
[CrossRef]

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]

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]

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]

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.

Vogt, R. E.

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]

Walther, H.

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]

Ward, H.

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).

Weiss, R.

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]

Welling, H.

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).

Whitcomb, S. E.

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]

Wilke, B.

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).

Winkler, W.

W. Winkler, A. Rüdiger, R. Schilling, K. A. Strain, K. Danzmann, “Birefringence-induced losses in interferometers,” Opt. Commun. 112, 245–252 (1994).
[CrossRef]

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]

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).

Zucker, M. E.

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]

Appl. Opt.

J. Phys. (Paris)

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]

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]

Nucl. Instrum. Methods A

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]

Opt. Acta

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]

Opt. Commun.

W. Winkler, A. Rüdiger, R. Schilling, K. A. Strain, K. Danzmann, “Birefringence-induced losses in interferometers,” Opt. Commun. 112, 245–252 (1994).
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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]

Opt. Lett.

Phys. Lett. A

P. Hello, J.-Y. Vinet, “Simulation of thermal effects in interferometric gravitational-wave detectors,” Phys. Lett. A 178, 351–356 (1993).
[CrossRef]

Phys. Rep.

J. R. Ackerhalt, P. W. Milonni, M.-L. Shih, “Chaos in quantum optics,” Phys. Rep. 128, 205–300 (1985).
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Phys. Rev. A

S. L. McCall, “Instabilities in continuous-wave light propagation in absorbing media,” Phys. Rev. A 9, 1515–1523 (1974).
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J. H. Marburger, F. S. Felber, “Theory of a lossless nonlinear Fabry-Perot interferometer,” Phys. Rev. A 17, 335–342 (1978).
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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).
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J. M. Aguirregabiria, L. Bel, “Delay-induced instability in a pendular Fabry-Perot cavity,” Phys. Rev. A 36, 3768–3770 (1987).
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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).
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Figures (6)

Fig. 1
Fig. 1

Schematic diagram of the substrate of the mirror and its coating heated by the intracavity laser beam.

Fig. 2
Fig. 2

Temperature profile as a function of the radial coordinate r and longitudinal coordinate z. Except close to the mirror surface and at the center of the beam, the rise in temperature is negligible. The radius of the mirror and the thickness of the substrate are 10 cm, but the plot is shown only for a portion of the mirror.

Fig. 3
Fig. 3

Plot of the thermoelastic deformation | u z(r, z = 0, Ω)| of the reflective coating of the substrate for Ω = 1 rad s-1.

Fig. 4
Fig. 4

Schematic diagram of the Fabry–Perot cavity showing the input, the intracavity field, and the coupling of the cavity to thermoelastic deformation.

Fig. 5
Fig. 5

Phase shift induced in the cavity as a result of the thermoelastic coupling of the light field, plotted for ∊P(Ω) = 1 W. The transfer function Y(Ω) is used.

Fig. 6
Fig. 6

Development of the phase offset induced in the cavity by thermoelastic deformation. The phase gradually increases, and within a few tens of the fluctuation time scale Ω0 -1 it attains 99% of its asymptotic value. No instability is observed.

Equations (60)

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ρCTt=K2T,
-KTrr=a=4σT03T|r=a,
-KTzz=-h=4σT03T|z=-h,
-KTzz=0=4σT03T|z=0-It, r,
Ir=2Pπw02 exp-2r2/w02,
iΩCρ+K2T=0.
T=n=1 ΘnzJ0knr,
Θnz-un2Θz=0,
un2=kn2-iΩρC/K.
xJ1x-τJ0x=0,
Θnz=αn expunz/a+βn exp-unz/a,
Ir=n=1 pnJ0knr=Pπa2n=1ξn2τ2+ξn2J0ξn2 exp-ξn2w028a2J0knr.
Θnz=aKpnτ+unexpunz+h/a-τ-unexp-unz+h/aτ+un2expunh/a-τ-un2exp-unh/a.
un1-i/δ,
δ=2KΩCρ1/2.
Θnz=pnδ2 K expzδ1-i+iπ4.
Tr, z, Ω=Irδ2 K expzδ-izδ-π4.
ψr, Ω=2πλdndT-h0 Tr, z, Ωdz
Err=urr,  Eϕϕ=urr,  Ezz=uzz,  Erz=12urz+uzr,
Θrr=-νT+λE+2μErr,
Θϕϕ=-νT+λE+2μEϕϕ,
Θzz=-νT+λE+2μEzz,
Θrz=2μErz.
Θrrr+Θrzz+Θrr-Θϕϕr=ρ2urt2,
Θrzr+Θzzz+Θrzr=ρ2uzt2.
Θzz|z=0=Θzz|z=-h=Θrz|z=0=Θrz|z=-h=Θrz|r=a=Θrr|r=a=0.
λ+2μ2urr2+λ+μ2uzrz+μ2urz2+λ+2μrurr+ρurΩ2=νTr,
λ+2μ2uzz2+λ+μ2urrz+μ2uzr2+λ+μrurz+μruzr+ρuzΩ2=νTz.
ur=m=1 AmzJ1kmr,
uz=m=1 BmzJ0kmr,
T=m=1 TmzJ0kmr,
Tmz=αm expβz,  αm=pmδ2 K expiπ/4,  β=1-iδ.
μ+λBm+kmAm+μBm-km2Bm+ρΩ2Bm=νTmz,
μ+λkmBm+kmAm-μAm-km2Am-ρΩ2Am=kmνTm,
Um+Ω2c22-km2Um=0,
Am+kmBm=2kmRm cosh kmz-Sm sinh kmz,
Amz=Pm cosh kmz+Qm sinh kmz+ηkmzRm cosh kmz-Sm sinh kmz-γ2m expβz,  Bmz=-Pm sinh kmz-Qm cosh kmz+2-η×Rm cosh kmz-Sm sinh kmz+γ1m expβz-ηkmzRm sinh kmz-Sm cosh kmz,
η=μ+λ/2μ+λ,  γ1m=βγ2m/km,  γ2m=kmναmλ+2μβ2-km2.
uzz=0=m=1 Bm0J0kmr,
Bm0=Rm=ζ1m sinhkmh-ζ2mkmh+sinhkmhcoshkmhsinh2kmh-kmh2,
ζ1m=η-1γ1m=βναmμ+λβ2-km2,
ζ2m=η-1γ2m=ναmkmμ+λβ2-km2.
uz|surface=iνμ+λδ22K Ir+m=1pmqmJ0kmr,
qm=kmh2sinh2kmh-kmh2.
uzr, Ω=iνμ+λIr+p1q1ρCΩ.
uzΩ=uzΦ002dS.
ψdΩ=4πλuzΩiαdPΩ,
Bt=T expiψlA+R expiϕ0+ψdBt-τ,
Bt=T expiψlA1-R expiϕ0+ψd.
Pt=TA21-R expiϕ0+ψ2,
ψΩ=iα PΩΩ.
ψ0=α0P0,  α0=4πλ uz01.2 W-1.
Ω0=αα0s-1.
ψΩ=YΩPΩ,  YΩ=αΩ0-iΩ.
ψt=-YΩPΩexp-iΩtdΩ.
dψtdt=-Ω0ψt+αPt.
dψdt=gψ,  gψ=-Ω0ψ+αTA21+R2-2R cosψ+ϕ0.
dψdΩ0t=-ψ+ab-cosψ+ϕ0,
Ω0t=0ψb-1a-b-1ψdψ,
ψab-11-exp-Ω0t.

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