Coating thermal noise of a finite-size cylindrical mirror
- Creators
- Somiya, Kentaro
- Yamamoto, Kazuhiro
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 modal-expansion method 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 in analyzing thermal noise in quantum-measurement experiments with lighter mirrors.
Additional Information
©2009 The American Physical Society. Received 17 March 2009; published 20 May 2009. We would like to appreciate Y. Chen, P. Fritschel, G. Harry, Y. Mino, C. Torrie, P. Willems, and H. Yamamoto for valuable discussions. K. S. is supported by Japan Society for the Promotion of Science (JSPS). The research is also supported in part by the Alexander von Humboldt Foundation's Sofja Kovalevskaja Programme. # 04.80.Cc Experimental tests of gravitational theories # 04.30.Db Gravitational wave generation and sources # 04.80.Nn Gravitational wave detectors and experimentsAdditional details
- Eprint ID
- 15517
- Resolver ID
- CaltechAUTHORS:20090901-100518437
- Japan Society for the Promotion of Science
- Alexander von Humboldt Foundation
- Created
-
2009-09-08Created from EPrint's datestamp field
- Updated
-
2021-11-08Created from EPrint's last_modified field