On fundamental diffraction limitation of finesse of a Fabry–Perot cavity
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.
© 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).
Submitted - 1712.08217.pdf