藉由重力場效校準器改進用於校正的不準度之誤差計算方法

Abstract

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Calibration and detector characterization play important role in gravitational waves signal reconstruction from interferometer response. KAGRA, a newly gravitational wave detector in Japan, joined the third observation(O3), and also have joint observation with GEO600, called O3GK. In calibration, we use photon calibrator(PCAL) in KAGRA during the observation. PCAL push mirror by radiation pressure to characterize interferometer response. We plan to use gravity field calibrator(GCAL), a dynamic gravitational field generator in our calibration in near future. GCAL actuate the interferometer mirror by rotating multipole masses.In this thesis, we proposed maximum likelihood method to crosscheck the error estimation independently. We characterize the operation of PCAL used in KAGRA in O3GK by signal demodulation to verify the stability of PCAL. For GCAL, we estimate the systematic error of two component, radius and mass in GCAL geometry by Monte Carlo simulation. In the end of this thesis, we proposed a new method with combination of above two calibration instruments. By estimating of the ratio of higher order harmonics in GCAL to PCAL calibration signal in specific frequency, we can reduce the systematic error of GCAL and error of calibration measurement. We also derive new formula for estimation of time-dependent correction factor(TDCFs) with GCAL for future application. However, the KAGRA Collaboration does not yet have consensus views on the results presented in this thesis.