The LISA Response Function
Neil J. Cornish, Louis J. Rubbo
TL;DR
This paper derives the complete response function of the LISA gravitational wave detector, accounting for orbital motion and noise complexities, enhancing source localization capabilities.
Contribution
It provides a coordinate-free derivation of LISA's response to arbitrary gravitational waves, extending previous low-frequency approximations.
Findings
Derived the full LISA response function for arbitrary signals.
Showed how orbital motion modulates signals for source localization.
Analyzed noise estimation challenges due to arm length variations.
Abstract
The orbital motion of the Laser Interferometer Space Antenna (LISA) introduces modulations into the observed gravitational wave signal. These modulations can be used to determine the location and orientation of a gravitational wave source. The complete LISA response to an arbitary gravitational wave is derived using a coordinate free approach in the transverse-traceless gauge. The general response function reduces to that found by Cutler (PRD 57, 7089 1998) for low frequency, monochromatic plane waves. Estimates of the noise in the detector are found to be complicated by the time variation of the interferometer arm lengths.
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