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

被引：4

作者：

Poplavskiy, Mikhail V. ^{[1
]}

Matsko, Andrey B. ^{[2
]}

Yamamoto, Hiroaki ^{[3
]}

Vyatchanin, Sergey P. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119991, Russia

[2] OEwaves Inc, 465 North Halstead St,Suite 140, Pasadena, CA 91107 USA

[3] CALTECH, LIGO Lab, MC 100-36, Pasadena, CA 91125 USA

来源：

JOURNAL OF OPTICS | 2018年 / 20卷 / 07期

基金：

俄罗斯科学基金会; 俄罗斯基础研究基金会; 美国国家科学基金会;

关键词：

Fabry-Perot cavity; advanced LIGO; numerical simulation; PARAMETRIC OSCILLATORY INSTABILITY; ADVANCED LIGO; RESONATOR;

D O I：

10.1088/2040-8986/aac7d4

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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.

引用

页数：14

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