Full analytical formulas for frequency response of space-based gravitational wave detectors
The discovery of gravitational waves, which are ripples of space-time itself, opened a new window to test general relativity, because it predicts that there are only plus and cross polarizations for gravitational waves. For alternative theories of gravity, there may be up to six polarizations. The measurement of the polarization is one of the major scientific goals for future gravitational wave detectors. To evaluate the capability of the detector, we need to use the frequency dependent response functions averaged over the source direction and polarization angle. We derive the full analytical formulas of the averaged response functions for all six possible polarizations and present their asymptotic behaviors based on these analytical formulas. Compared with the numerical simulation, the full analytical formulas are more efficient and valid for any equal-arm interferometric gravitational wave detector without optical cavities in the arms and for a time-delay-interferometry Michelson combination.
© 2020 American Physical Society. Received 5 March 2020; accepted 1 June 2020; published 12 June 2020. This research was supported in part by the National Natural Science Foundation of China under Grants No. 11875136 and No. 11605061, the Major Program of the National Natural Science Foundation of China under Grant No. 11690021. A. J. W. acknowledges funding from the U.S. National Science Foundation, under Cooperative Agreement No. PHY-1764464.
Published - PhysRevD.101.124027.pdf
Accepted Version - 2003.01441.pdf