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On fundamental diffraction limitation of finesse of a Fabry–Perot cavity

Poplavskiy, Mikhail V. and Matsko, Andrey B. and Yamamoto, Hiroaki and Vyatchanin, Sergey P. (2018) On fundamental diffraction limitation of finesse of a Fabry–Perot cavity. Journal of Optics, 20 (7). Art. No. 075609. ISSN 2040-8978 . http://resolver.caltech.edu/CaltechAUTHORS:20180620-152221247

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Abstract

We perform a theoretical study of finesse limitations of a Fabry–Perot (FP) cavity occurring due to finite size, asymmetry, as well as imperfections of the cavity mirrors. A method of numerical simulations of the eigenvalue problem applicable for both the fundamental and high-order cavity modes is suggested. Using this technique we find spatial profile of the modes and their round trip diffraction loss. The results of the numerical simulations and analytical calculations are nearly identical when we consider a conventional FP cavity. The proposed numerical technique has a much broader applicability range and is valid for any FP cavity with arbitrary non-spherical mirrors which have cylindrical symmetry but disturbed in an asymmetric way, for example, by tilt or roughness of their mirrors.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1088/2040-8986/aac7d4DOIArticle
https://arxiv.org/abs/1712.08217arXivDiscussion Paper
ORCID:
AuthorORCID
Poplavskiy, Mikhail V.0000-0003-3954-6927
Vyatchanin, Sergey P.0000-0002-6823-911X
Additional Information:© 2018 IOP Publishing Ltd. Received 21 December 2017; Accepted 25 May 2018; Accepted Manuscript online 25 May 2018; Published 20 June 2018. LIGO was constructed by the California Institute of Technology and Massachusetts Institute of Technology with funding from the National Science Foundation, and operates under cooperative agreement PHY-0757058. M.P. and S.V. acknowledge support from the Russian Foundation for Basic Research (partially, Grant No. 16-52-10069), Russian Science Foundation (researches in Section IV supported by Grant No. 17-12-01095), Russian Science Foundation (partially, grant No. 17-12-01095) and National Science Foundation (researches in Sec. V, VI supported by Grant No. PHY-130586).
Group:LIGO
Funders:
Funding AgencyGrant Number
NSFPHY-0757058
Russian Foundation for Basic Research16-52-10069
Russian Science Foundation17-12-01095
Russian Science Foundation17-12-01095
NSFPHY-130586
Classification Code:PACS numbers: 95.55.Ym, 42.60.Da, 42.79.Bh, 42.65.Sf
Record Number:CaltechAUTHORS:20180620-152221247
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180620-152221247
Official Citation:Mikhail V Poplavskiy et al 2018 J. Opt. 20 075609
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87276
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:20 Jun 2018 22:35
Last Modified:20 Jun 2018 22:35

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