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Parametric instability in long optical cavities and suppression by dynamic transverse mode frequency modulation

Zhao, Chunnong and Ju, Li and Fang, Qi and Blair, Carl and Qin, Jiayi and Blair, David and Degallaix, Jerome and Yamamoto, Hiroaki (2015) Parametric instability in long optical cavities and suppression by dynamic transverse mode frequency modulation. Physical Review D, 91 (9). Art. No. 092001. ISSN 2470-0010.

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Three-mode parametric instability has been predicted in advanced gravitational wave detectors. Here we present the first observation of this phenomenon in a large scale suspended optical cavity designed to be comparable to those of advanced gravitational wave detectors. Our results show that previous modeling assumptions that transverse optical modes are stable in frequency except for frequency drifts on a thermal deformation time scale is unlikely to be valid for suspended mass optical cavities. We demonstrate that mirror figure errors cause a dependence of transverse mode offset frequency on spot position. Combined with low-frequency residual motion of suspended mirrors, this leads to transverse mode frequency modulation which suppresses the effective parametric gain. We show that this gain suppression mechanism can be enhanced by laser spot dithering or fast thermal modulation. Using Advanced LIGO test-mass data and thermal modeling, we show that gain suppression factors of 10–20 could be achieved for individual modes, sufficient to greatly ameliorate the parametric instability problem.

Item Type:Article
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URLURL TypeDescription DOIArticle Paper
Zhao, Chunnong0000-0001-5825-2401
Additional Information:© 2015 American Physical Society. Received 18 January 2015; published 5 May 2015. We wish to thank the Gingin Advisory Committee of the LIGO Scientific Collaboration and the LIGO Scientific Collaboration Optics Working Group for encouragement. Thanks to our collaborators Jesper Munch, Peter Veitch, and David Hosken for useful advice. We wish especially to thank Slawek Gras for his careful review of the manuscript and the LIGO MIT group for their encouragement. This research was supported by the Australian Research Council Grant No. DP120100898.
Funding AgencyGrant Number
Australian Research Council (ARC)DP120100898
Issue or Number:9
Classification Code:PACS: 04.80.Nn, 95.55.Ym, 07.60.Ly
Record Number:CaltechAUTHORS:20150602-153911978
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:57952
Deposited By: Tony Diaz
Deposited On:02 Jun 2015 23:51
Last Modified:09 Mar 2020 13:19

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