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Scaling law in signal recycled laser-interferometer gravitational-wave detectors

Buonanno, Alessandra and Chen, Yanbei (2003) Scaling law in signal recycled laser-interferometer gravitational-wave detectors. Physical Review D, 67 (6). Art. 062002. ISSN 2470-0010. doi:10.1103/PhysRevD.67.062002.

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By mapping the signal-recycling (SR) optical configuration to a three-mirror cavity, and then to a single detuned cavity, we express the SR optomechanical dynamics, input-output relation, and noise spectral density in terms of only three characteristic parameters: the (free) optical resonant frequency and decay time of the entire interferometer, and the laser power circulating in the arm cavities. These parameters, and therefore the properties of the interferometer, are invariant under an appropriate scaling of SR-mirror reflectivity, SR detuning, arm-cavity storage time, and input power at the beam splitter. Moreover, so far the quantum-mechanical description of laser-interferometer gravitational-wave detectors, including radiation-pressure effects, has been obtained only at linear order in the transmissivity of arm-cavity internal mirrors. We relax this assumption and discuss how the noise spectral densities change.

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Chen, Yanbei0000-0002-9730-9463
Additional Information:© 2003 The American Physical Society. Received 17 August 2002. Published 26 March 2003. We thank Vladimir Braginsky and Farid Khalili for stimulating discussions on the material presented in Sec. IVD and Secs. IV B and IV C, respectively. It is also a pleasure to thank Peter Fritschel, Nergis Mavalvala, and David Shoemaker for exchange of information on the existence of the scaling law in SR interferometers, and Kip Thorne for his continuous encouragement and for very useful interactions. We acknowledge support from NSF grant PHY-0099568. The research for A.B. was also supported by Caltech’s Richard Chace Tolman Fund. The research for Y.C. was also supported by the David and Barbara Groce Fund of San Diego Foundation.
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Richard Chace Tolman FundUNSPECIFIED
Subject Keywords:PACS numbers: 04.80.Nn, 03.65.Ta, 42.50.Dv, 95.55.Ym
Issue or Number:6
Record Number:CaltechAUTHORS:20140911-121322653
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:49606
Deposited By: Katherine Johnson
Deposited On:11 Sep 2014 22:00
Last Modified:10 Nov 2021 18:46

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