| The direct detection of gravitational waves opened a new window on cosmic observation and ushered in a new era of gravitational wave astronomy.The second generation of ground-based gravitational wave detectors currently operating in the world include the two LIGOs at Hanford and Livingston in the United States,Virgo in Italy,and KAGRA in Japan.However,the strain sensitivity of the second generation gravitational wave detectors is not high enough to detect most astronomical events in the universe,so it is urgent to build the third generation ground-based gravitational wave detector.Based on the low-noise laser source in Shanxi University and abandoned mines in Shanxi Province,the Shanxi provincial government has approved to construct a third-generation groundbased gravitational wave detector,which is named as "Diting".In this paper,by analyzing the frequency response of different types of Michelson interferometers to gravitational wave signals,the relevant parameters of Fabry-Perot cavity and power-recycled mirror are designed to meet the strain sensitivity of the third generation gravitational wave detector.The manipulation of the squeezed vacuum state is theoretically realized by a coupled optical parametric amplifier.The main content is divided into the following four chapters:The first chapter introduces the background and research significance of laser interferometer gravitational wave detector.In chapter 2,the field equations and solutions of gravitational wave,several common sources of gravitational wave,the detectability of gravitational wave and the basic principles of laser interferometer gravitational wave detector are introduced.In Chapter 3,the frequency responses of the Michelson interferometer,the Fabry-Perot-Michelson interferometer and the power-recycled Fabry-Perot-Michelson interferometer to gravitational wave signals are calculated respectively.Compared with the frequency response of the Laser Interferometer Gravitational-wave Observatory(LIGO),the reflection coefficients of the Fabry-Perot cavity and the power-recycled mirror are determined respectively.This is of great significance to construct the laser interferometer gravitational wave detector "Diting" in China.In Chapter 4,the absorption and dispersion curves of the coupled optical parametric amplifier are analyzed.By controlling the reflection coefficient of intermediate mirror,the Coupled-Resonator-Induced Transparency phenomenon is realized.Then,the coupled optical parametric amplifier is utilized to realize the manipulation of squeezed vacuum state.The proposal is similar to the quantum expander which introduce a nonlinear crystal in signal-recycled resonator of laser interferometer,and can be utilized to enhance the strain sensitivity of future gravitational wave detectors. |
