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Signal recycled laser-interferometer gravitational-wave detectors as optical springs

Buonanno, Alessandra and Chen, Yanbei (2002) Signal recycled laser-interferometer gravitational-wave detectors as optical springs. Physical Review D, 65 (4). Art. 042001. ISSN 2470-0010. doi:10.1103/PhysRevD.65.042001.

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Using the force-susceptibility formalism of linear quantum measurements, we study the dynamics of signal recycled interferometers, such as LIGO-II. We show that, although the antisymmetric mode of motion of the four arm-cavity mirrors is originally described by a free mass, when the signal-recycling mirror is added to the interferometer, the radiation-pressure force not only disturbs the motion of that “free mass” randomly due to quantum fluctuations, but also, and more fundamentally, makes it respond to forces as though it were connected to a spring with a specific optical-mechanical rigidity. This oscillatory response gives rise to a much richer dynamics than previously known for SR interferometers, which enhances the possibilities for reshaping the noise curves and, if thermal noise can be pushed low enough, enables the standard quantum limit to be beaten. We also show the possibility of using servo systems to suppress the instability associated with the optical-mechanical interaction without compromising the sensitivity of the interferometer.

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Chen, Yanbei0000-0002-9730-9463
Additional Information:© 2002 The American Physical Society. Received 5 July 2001. Published 14 January 2002. We wish to thank P. Fritschel, J. Mason, N. Mavalvala, G. Mueller and K.A. Strain for very interesting, helpful discussions and/or comments. It is also a pleasure to thank V.B. Braginsky for pointing out the importance of opticalmechanical oscillations in GW detectors, F.Ya. Khalili for very stimulating interactions concerning the opticalmechanical rigidity in LIGO-II and Yu. Levin for very lively discussions which further motivated our descriptions of SR interferometers using the force-susceptibility approach. Finally, we are deeply indebted to K.S. Thorne for his constant support and for offering numerous useful comments and suggestions. This research was supported by NSF grants PHY- 9900776 and PHY-0099568 and also for A.B. by Caltech Richard C. Tolman Funds.
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Richard C. Tolman FundsUNSPECIFIED
Subject Keywords:PACS number~s!: 04.80.Nn, 03.65.Ta, 42.50.Dv, 95.55.Ym
Issue or Number:4
Record Number:CaltechAUTHORS:20140911-114246093
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:49603
Deposited By: Katherine Johnson
Deposited On:11 Sep 2014 19:06
Last Modified:10 Nov 2021 18:46

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