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Considerations on parametric instability in Fabry–Perot interferometer

Kells, William and D'Ambrosio, Erika (2002) Considerations on parametric instability in Fabry–Perot interferometer. Physics Letters A, 299 (4). pp. 326-330. ISSN 0375-9601. doi:10.1016/S0375-9601(02)00611-4. https://resolver.caltech.edu/CaltechAUTHORS:20170823-133848499

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Abstract

We evaluate the parametric phenomenon for the main optical mode coupled to other resonant waves excited by acoustic interaction with the mirrors of a Fabry–Perot. We apply this to the arm cavity of a gravitational wave antenna. Under certain assumptions we find that the amplitude of these parasitic modes is expressed by analytic solutions that are always damped. We analyze both the zero detuning and the detuned case and solve the equations. The form of the solution shows that for equally spaced and excited cavity modes the instability is expressed by a threshold condition, which is well approximated for LIGO arm resonator parameters.


Item Type:Article
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https://doi.org/10.1016/S0375-9601(02)00611-4DOIArticle
http://www.sciencedirect.com/science/article/pii/S0375960102006114PublisherArticle
Additional Information:© 2002 Elsevier Science B.V. Received 6 April 2002; received in revised form 6 April 2002; accepted 29 April 2002. Communicated by P.R. Holland. We thank our LIGO colleagues Stanley E. Whitcomb and Phil Willems for useful remarks and discussions. This work was supported by the National Science Foundation under Cooperative Agreement PHY-9210038 and the California Institute of Technology.
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Funding AgencyGrant Number
NSFPHY-9210038
CaltechUNSPECIFIED
Issue or Number:4
DOI:10.1016/S0375-9601(02)00611-4
Record Number:CaltechAUTHORS:20170823-133848499
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170823-133848499
Official Citation:William Kells, Erika D'Ambrosio, Considerations on parametric instability in Fabry–Perot interferometer, Physics Letters A, Volume 299, Issue 4, 2002, Pages 326-330, ISSN 0375-9601, http://dx.doi.org/10.1016/S0375-9601(02)00611-4. (http://www.sciencedirect.com/science/article/pii/S0375960102006114)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80736
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:23 Aug 2017 23:00
Last Modified:15 Nov 2021 19:38

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