AffiliationUniv Arizona, Steward Observ
MetadataShow full item record
PublisherAMER PHYSICAL SOC
CitationChamberlain, K., Moore, C. J., Gerosa, D., & Yunes, N. (2019). Frequency-domain waveform approximants capturing Doppler shifts. Physical Review D, 99(2), 024025.
JournalPHYSICAL REVIEW D
Rights© 2019 American Physical Society
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at firstname.lastname@example.org.
AbstractGravitational-wave astrophysics has only just begun, and as current detectors are upgraded and new detectors are built, many new, albeit faint, features in the signals will become accessible. One such feature is the presence of time-dependent Doppler shifts, generated by the acceleration of the center of mass of the gravitational-wave emitting system. We here develop a generic method that takes a frequency-domain, gravitational-wave model devoid of Doppler shifts and introduces modifications that incorporate them. Building upon a perturbative expansion that assumes the Doppler-shift velocity is small relative to the speed of light, the method consists of the inclusion of a single term in the Fourier phase and two terms in the Fourier amplitude. We validate the method through matches between waveforms with a Doppler shift in the time domain and waveforms constructed with our method for two toy problems: constant accelerations induced by a distant third body and Gaussian accelerations that resemble a kick profile. We find mismatches below similar to 10(-6) for all of the astrophysically relevant cases considered and that improve further at smaller velocities. The work presented here will allow for the use of future detectors to extract new, faint features in the signal from the noise.
VersionFinal published version
SponsorsLIGO SURF program at Caltech through NSF [PHY-1460838]; NASA by the Chandra X-ray Center [PF6-170152]; NASA [NAS8-03060, NNX16AB98G, 80NSSC17M0041]; European Union [MaGRaTh-646597, 690904]; NSF CAREER [PHY-1250636]