Model of thermal wave-front distortion in interferometric gravitational-wave detectors. I. Thermal focusing

Journal of the Optical Society of America B: Optical Physics

Volumn 20, Issue 6, 2003, Pages 1247-1268

  Beausoleil, Raymond G ^a,c   Gustafson, Eric K ^a   Fejer, Martin M ^a   D'Ambrosio, Erika ^b   Kells, William ^b   Camp, Jordan ^b  

^a STANFORD UNIVERSITY   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^c HEWLETT PACKARD LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FAST FOURIER TRANSFORMS; FIBER LASERS; LIGHT ABSORPTION; SURFACES;

WAVE-FRONT DISTORTION;

INTERFEROMETERS;

EID: 0037901755     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.20.001247     Document Type: Article

References (28)

1. C. M. Will, Theory and Experiment in Gravitational Physics, revised ed. (Cambridge University, Cambridge, England, 1993).
2. D. G. Blair, ed., The Detection of Gravitational Waves (Cambridge University, Cambridge, England, 1993).
3. P. R. Saulson, Fundamentals of Interferometric Gravitational Wave Detectors (World Scientific, Singapore, 1994).
4. A. Abramovici, W. Althouse, R. Drever, Y. Gursel, S. Kawamura, F. Raab, D. Shoemaker, L. Sievers, R. Spero, K. Thorne, R. Vogt, R. Weiss, S. Whitcomb, and M. Zucker, "LIGO: The laser interferometer gravitational-wave observatory," Science 256, 325-333 (1992).
5. A. Abramovici, W. Althouse, J. Camp, J. A. Giaime, A. Gillespie, S. Kawamura, A. Kuhnert, T. Lyons, F. J. Raab, R. L. Savage Jr., D. Shoemaker, L. Sievers, R. Spero, R. Vogt, R. Weiss, S. Whitcomb, and M. Zucker, "Improved sensitivity in a gravitational wave interferometer and implications for LIGO," Phys. Lett. A 218, 157-163 (1996).
6. A. Giazotto, "The VIRGO experiment: status of the art," in First Edoardo Amaldi Conference on Gravitational Wave Experiments, E. Coccia, G. Pizella, and F. Ronga, eds. (World Scientific, Singapore, 1995), p. 86.
7. K. Danzmann, "GEO 600 - a 600-m laser interferometric gravitational wave antenna," in First Edoardo Amaldi Conference on Gravitational Wave Experiments, E. Coccia, G. Pizella, and F. Ronga, eds. (World Scientific, Singapore, 1995), p. 100.
8. K. Tsubono, "300-m laser interferometric gravitational wave detector (TAMA300) in Japan," in First Edoardo Amaldi Conference on Gravitational Wave Experiments, E. Coccia, G. Pizella, and F. Ronga, eds. (World Scientific, Singapore, 1995), p. 112.
9. 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).
10. P. Fritschel, R. Bork, G. Lez, N. Mavalvala, D. Ouimette, H. Rong, D. Sigg, and M. Zucker, "Readout and control of a power-recycled interferometric gravitational-wave antenna," Appl. Opt. 40, 4988-4998 (2001).
11. B. J. Meers and K. A. Strain, "Wave-front distortion in laser-interferometric gravitational-wave detectors," Phys. Rev. D 43, 3117-3130 (1991).
12. W. Winkler, K. Danzmann, A. Rüdiger, and R. Schilling, "Heating by optical absorption and the performance of interferometric gravitational-wave detectors," Phys. Rev. A 44, 7022-7036 (1991).
13. K. A. Strain, K. Danzmann, J. Mizuno, P. G. Nelson, A. Rüdiger, R. Schilling, and W. Winkler, "Thermal lensing in recycling interferometric gravitational wave detectors," Phys. Lett. A 194, 124-132 (1994).
14. D. McClelland, J. Camp, J. Mason, W. Kells, and S. Whitcomb, "Arm cavity resonant sideband control for laser interferometric gravitational wave detectors," Opt. Lett. 24, 1014-1016 (1999).
15. J.-Y. Vinet, P. Hello, C. N. Man, and A. Brillet, "A high-accuracy method for the simulation of non-ideal optical cavities," J. Phys. I 2, 1287-1303 (1992).
16. P. Saha, "Fast estimation of transverse fields in high-finesse optical cavities," J. Opt. Soc. Am. A 14, 2195-2202 (1997).
17. B. Bochner, "Modeling the performance of interferometric gravitational-wave detectors with realistically imperfect optics," Ph.D. dissertation (Massachusetts Institute of Technology, Cambridge, Mass., 1998).
18. 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).
19. D. Z. Anderson, "Alignment of resonant optical cavities," Appl. Opt. 28, 2944-2949 (1984).
20. E. Morrison, B. J. Meers, D. I. Robertson, and H. Ward, "Automatic alignment of optical interferometers," Appl. Opt. 83, 5041-5049 (1994).
21. Y. Hefetz, N. Mavalvala, and D. Sigg, "Principles of calculating alignment signals in complex resonant optical interferometers," J. Opt. Soc. Am. B 107, 1597-1605 (1997).
22. R. G. Beausoleil and D. Sigg, "Spatiotemporal model of the LIGO interferometer," J. Opt. Soc. Am. A 16, 2990-3002 (1999).
23. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986); errata URL: http://www-ee.stanford.edu/̃siegman/lasers_book_errata.txt.
24. K. E. Oughstun, in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1987), Vol. 24, pp. 165-387.
25. A. Kostenbauder, Y. Sun, and A. E. Siegman, "Eigenmode expansions using biorthogonal functions: complex-valued Hermite-Gaussians," J. Opt. Soc. Am. A 14, 1780-1790 (1997).
26. See http://www.mathworks.com/products/matlab/.
27. The Melody/MATLAB software package can be downloaded from the LIGO Software Tools for Advanced Interferometer Configurations Internet web site at the URL http://www.phys.ufl.edu/LIGO/LIGO/STAIC.html.
28. See http://www.ligo.caltech.edu/gari/COCAsBuilt.htm.