Photo-thermal Shot Noise in End Mirrors of LIGO due to Correlation of Power Fluctuation
WU Shi-Chen1, WAN Zhen-Zhu1,2, LI Huan¹, LIU Zhong-Zhu1
¹Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
²Department of Physics, School of Mathematics and Physics, China University of Geosciences, Wuhan 430074
Photo-thermal Shot Noise in End Mirrors of LIGO due to Correlation of Power Fluctuation
¹Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
²Department of Physics, School of Mathematics and Physics, China University of Geosciences, Wuhan 430074
Abstract： The effect of input power fluctuation on photo-thermal shot noise in the end mirrors of a laser interferometer gravitational-wave observatory (LIGO) is analysed according to the statistical optics, which is a supplement of Braginsky's research. The laser light folding in LIGO increases a correlation of input power fluctuation in the photo-thermal shot noise. This part of noise has spectral density proportional to ω-2 in low frequency bands, and ω-4 in high frequency bands. It is not a white noise and may affect the processing about data of interferometers. To obtain an advanced LIGO, photo-thermal shot noise in end mirrors due to correlation of input power fluctuation is up to Braginsky's photo-thermal noise in the frequency range 1--100 Hz.
WU Shi-Chen;WAN Zhen-Zhu;LI Huan⊃LIU Zhong-Zhu. Photo-thermal Shot Noise in End Mirrors of LIGO due to Correlation of Power Fluctuation[J]. 中国物理快报, 2006, 23(12): 3173-3175.
WU Shi-Chen, WAN Zhen-Zhu, LI Huan&sup, LIU Zhong-Zhu. Photo-thermal Shot Noise in End Mirrors of LIGO due to Correlation of Power Fluctuation. Chin. Phys. Lett., 2006, 23(12): 3173-3175.
2006, Vol. 23 
