Quantum-limited optical phase detection at the 10-10-rad level

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 19, Issue 1, 2002, Pages 91-100

  Lantz, Brian ^a,c   Fritschel, Peter ^a   Rong, Haisheng ^a,d   Daw, Ed ^a,e   González, Gabriela ^b,e  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

^c STANFORD UNIVERSITY   (United States)

^d New Focus Inc   (United States)

^e LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASTROPHYSICS; GRAVITY WAVES; INTERFEROMETRY; PHOTONS; POISSON DISTRIBUTION; QUANTUM EFFICIENCY; SPURIOUS SIGNAL NOISE;

PHASE SENSITIVITY ANALYSIS;

OPTICAL PHASE CONJUGATION;

EID: 0041519177     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.19.000091     Document Type: Article

References (36)

1. R. Weiss, "Electromagnetically coupled broadband gravitational antenna," MIT Res. Lab. Electron. Q. Prog. Rep. 105, 54-76 (1972).
2. See, for example, K. S. Thorne, "Gravitational radiation," in 300 Years of Gravitation, S. W. Hawking and W. Israel, eds. (Cambridge U. Press, Cambridge, UK, 1987), pp. 330-458.
3. Ke-Xun Sun, M. M. Fejer, E. Gustafson, and R. L. Byer, "Sagnac interferometer for gravitational-wave detection," Phys. Rev. Lett. 76, 3053-3056 (1996).
4. A. Abramovici, B. 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. B. Caron, A. Dominjon, C. Drezen, R. Flaminio, X. Grave, F. Marion, L. Massonnet, C. Mehmel, R. Morand, B. Mours, V. Sannibale, M. Yvert, D. Babusci, S. Bellucci, S. Candusso, G. Giordano, G. Matone, J.-M. Mackowski, L. Pinard, F. Barone, E. Calloni, L. DiFiore, M. Flagiello, F. Garuti, A. Grado, M. Longo, M. Lops, S. Marano, L. Milano, S. Solimeno, V. Brisson, F. Cavalier, M. Davier, P. Hello, P. Heusse, P. Mann, Y. Acker, M. Barsuglia, B. Bhawal, F. Bondu, A. Brillet, H. Heitmann, J.-M. Innocent, L. Latrach, C. N. Man, M. PhamTu, E. Tournier, M. Taubmann, J.-Y. Vinet, C. Boccara, P. Gleyzes, V. Loriette, J.-P. Roger, G. Cagnoli, L. Gammaitoni, J. Kovalik, F. Marchesoni, M. Punturo, M. Beccaria, M. Bernardini, E. Bougleux, S. Braccini, C. Bradaschia, G. Cella, A, Ciampa, E. Cuoco, G. Curci, R. DelFabbro, R. DeSalvo, A. DiVirgilio, D. Enard, I. Ferrante, F. Fidecaro, A. Giassi, A. Giazotto, L. Holloway, P. LaPenna, G. Losurdo, S. Mancini, M. Mazzoni, F. Palla, H.-B. Pan, D. Passuello, P. Pelfer, R. Poggiani, R. Stanga, A. Vicere, Z. Zhang, V. Ferrari, E. Majorana, P. Puppo, P. Rapagnani, and F. Ricci, "The VIRGO interferometer for gravitational wave detection," Nucl. Phys. B 54, 167-175 (1997).
6. 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), pp. 100-111.
7. K. Tsubono, "300-m laser interferometer 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), pp. 112-114.
8. P. Fritschel, G. Gonzalez, B. Lantz, P. Saha, and M. Zucker, "High power interferometric phase measurement limited by quantum noise and application to detection of gravitational waves," Phys. Rev. Lett. 80, 3181-3184 (1998).
9. D. Shoemaker, R. Schilling, L. Schnupp, W. Winkler, K. Maischberger, and A. Rüdiger, "Noise behavior of the Garching 30-meter prototype gravitational-wave detector," Phys. Rev. D 38, 423-432 (1988).
10. R. Forward, "Wideband laser-interferometer gravitational-radiation experiment," Phys. Rev. D 17, 379-390 (1978).
11. G. Blum and R. Weiss, "Experimental test of the Freundlich red-shift hypothesis," Phys. Rev. 155, 1412-1413 (1967).
12. 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).
13. R. W. P. Drever, J. Hough, A. J. Munley, S. A. Lee, R. Spero, S. E. Whitcomb, H. Ward, G. M. Ford, M. Hereld, N. A. Robertson, I. Kerr, J. R. Pugh, G. P. Newton, B. Meers, E. D. Brook III, and Y. Gürsel, "Gravitational wave detectors using laser interferometers and optical cavities," in Quantum Optics, Experimental Gravity, and Measurement Theory, P. Meystre and M. O. Scully, eds. (Plenum, New York, 1983), pp. 503-524.
14. H. Billing, K. Maischberger, A. Rüdiger, R. Schilling, L. Schnupp, and W. Winkler, "The Munich Gravitational Wave Detector using laser interferometry," in Quantum Optics, Experimental Gravity, and Measurement Theory, P. Meystre and M. O. Scully, eds. (Plenum, New York, 1983), pp. 525-566.
15. K. Maischberger, A. Rüdiger, R. Schilling, L. Schnupp, W. Winkler, and G. Leuchs, "Status of the Garching 30 meter prototype for a large gravitational wave detector," in International Symposium on Experimental Gravitational Physics, P. Michelson, Hu En-ke, and G. Pizzella, eds. (World Scientific, Singapore, 1988), pp. 316-321.
16. L. Schnupp, Max Planck Institute for Quantum Optics, Hans-Kopfermann-Strasse 1, 85748 Garching, Germany (personal communication, 1986).
17. J. Hough, H. Ward, G. A. Kerr, N. L. Mackenzie, B. J. Meers, G. P. Newton, D. I. Robertson, N. A. Robertson, and R. Schilling, "The stabilisation of lasers for interferometric gravitational wave detectors," in The Detection of Gravitational Waves, D. Blair, ed. (Cambridge U. Press, Cambridge, UK, 1991), pp. 329-352.
18. R. L. Savage, Jr., P. J. King, and S. U. Seel, "A highly stabilized 10-watt Nd:YAG laser for the Laser Interferometer Gravitational Wave Observatory (LIGO)," Laser Phys. 8, 679-685 (1998).
19. 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).
20. STACIS, Technical Manufacturing Company, 15 Centennial Drive, Peabody, Mass. 01960.
21. J. Giaime, P. Saha, D. Shoemaker, and L. Sievers, "A passive vibration isolation stack for LIGO: design, modeling, and testing," Rev. Sci. Instrum. 67, 208-214 (1996).
22. R. Schilling, L. Schnupp, W. Winkler, H. Billing, K. Maischberger, and A. Rüdiger, "A method to blot out scattered light effects and its application to a gravitational wave detector," J. Phys. E 14, 65-70 (1981).
23. -5/sr.
24. E. Morrison, B. J. Meers, D. I. Robertson, and H. Ward, "Automatic alignment of optical interferometers," Appl. Opt. 33, 5041-5049 (1994).
25. Y. Hefetz, N. Mavalvala, and D. Sigg, "Principles of calculating alignment signals in complex resonant optical interferometers," J. Opt. Soc. Am. B 14, 1597-1605 (1997).
26. B. Lantz, "Quantum limited optical phase detection in a high power suspended interferometer," Ph.D. thesis (Massachusetts Institute of Technology, Cambridge, Mass., 1999).
27. T. M. Neibauer, R. Schilling, K. Danzmann, A. Rüdiger, and W. Winkler, "Nonstationary shot noise and its effect on the sensitivity of interferometers," Phys. Rev. A 43, 5022-5029 (1991).
28. P. Saha, "Noise analysis of a suspended high power Michelson interferometer," Ph.D. thesis (Massachusetts Institute of Technology, Cambridge, Mass., 1997).
29. A. Rüdiger, R. Schilling, L. Schnupp, W. Winkler, H. Billing, and K. Maischberger, "A mode selector to suppress fluctuations in laser beam geometry," Opt. Acta 28, 641-658 (1981).
30. Yu. Levin, "Internal thermal noise in the LIGO test masses: a direct approach," Phys. Rev. D 57, 659-663 (1998).
31. W. J. Startin, M. A. Bielby, and P. R. Saulson, "Mechanical quality factors of fused silica resonators," Rev. Sci. Instrum. 69, 3681-3689 (1998).
32. B. S. Lunin, S. N. Torbin, M. N. Danachevskaya, and I. V. Batov, "Effect of defect layer on Q-factor of quartz glass resonators," Bull. Moscow State Univ. Ser. 2 35, 24-28 (1994) (translated by D. D. Lynch).
33. S. Rowan, S. M. Twyford, J. Hough, D. Gwo, and R. Route, "Mechanical losses associated with the technique of hydroxide-catalysis bonding of fused silica," Phys. Lett. A 248, 471-478 (1998).
34. P. Saulson, "Thermal noise in mechanical experiments," Phys. Rev. D 42, 2437-2445 (1990).
35. 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).
36. The mirror surface distortions and the beam-splitter substrate inhomogeneities contributed insignificantly to the contrast loss; this was clear not only because the calculated asymmetry loss matched the measured loss but also because the spatial distribution of the antisymmetric port beam had the cylindrical symmetry expected for this effect.