Coating thermal noise of a finite-size cylindrical mirror

Details Coating thermal noise of a finite-size cylindrical mirror Coating thermal noise of a finite-size cylindrical mirror

2009-03-17

arxiv.org/abs/0903.2902v1

Phys.Rev.D79:102004,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 4 figures

Scientific paper

10.1103/PhysRevD.79.102004

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.

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