Photo-thermal Shot Noise In End Mirrors Of LIGO Due To Correlation Of Power Fluctuation

The General Relativity has become the foundation of modern physics. Einstein predicted the existence of gravitational-wave by General Relativity. The existence of gravitational-wave has been one of the central theses of the gravitational theory. The prediction of existence of gravitational-wave was 90 years ago, but because of the gravitational-wave is very weak, limited by the experiment's technique level in the meantime, the gravitational-wave detection until the 60's just started last century. In 70's, acquired the gravitational wave the indirect proof for exist from the astronomic observation. People have been all hoping that can acquire the direct proof for exist of the gravitational-wave. For this, the international community threw in a great deal of manpower, material resources and financial power. After many years, there have been a world's net of the gravitational wave detection. The gravitational-wave detection is figured by《science》to be one of 8 science realms for highly anticipated in 2006.In this article, we first studied the states international gravitational-wave detection. Then we analyzed the main source of noise in LIGO. Last we based on Braginsky's research about end mirrors'thermal noise, analyzed the photo-thermal shot noise of end mirrors in LIGO due to input relative power fluctuation. We find that, this part of noise is up to Braginsky's noise for the Advanced LIGO.