Coating thermal noise of a finite-size cylindrical mirror
Abstract
Thermal noise of a mirror is one of the limiting noise sources in the high precision measurement such as gravitational-wave detection, and the modeling of thermal noise has been developed and refined over a decade. In this paper, we present a derivation of coating thermal noise of a finite-size cylindrical mirror based on the fluctuation-dissipation theorem. The result agrees to a previous result with an infinite-size mirror in the limit of large thickness, and also agrees to an independent result based on the mode expansion with a thin-mirror approximation. Our study will play an important role not only to accurately estimate the thermal-noise level of gravitational-wave detectors but also to help analyzing thermal noise in quantum-measurement experiments with lighter mirrors.
Keywords
Cite
@article{arxiv.0903.2902,
title = {Coating thermal noise of a finite-size cylindrical mirror},
author = {Kentaro Somiya and Kazuhiro Yamamoto},
journal= {arXiv preprint arXiv:0903.2902},
year = {2009}
}
Comments
13 pages, 4 figures