Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-07-10
Class.Quant.Grav.23:7627-7630,2006
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
3 pages. Originally performed in August 2004. Submitted to CQG. (v2) : Corrections from referee and others
Scientific paper
10.1088/0264-9381/23/24/N01
Advanced LIGO's sensitivity will be limited by coating noise. Though this noise depends on beam shape, and though nongaussian beams are being seriously considered for advanced LIGO, no published analysis exists to compare the quantitative thermal noise improvement alternate beams offer. In this paper, we derive and discuss a simple integral which completely characterizes the dependence of coating thermal noise on shape. The derivation used applies equally well, with minor modifications, to all other forms of thermal noise in the low-frequency limit.
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