Gravitational waves from inspiraling compact binaries: Validity of the stationary-phase approximation to the Fourier transform - art. no. 124016.

Citation
S. Droz et al., Gravitational waves from inspiraling compact binaries: Validity of the stationary-phase approximation to the Fourier transform - art. no. 124016., PHYS REV D, 5912(12), 1999, pp. 4016
Citations number
24
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
0556-2821 → ACNP
Volume
5912
Issue
12
Year of publication
1999
Database
ISI
SICI code
0556-2821(19990615)5912:12<4016:GWFICB>2.0.ZU;2-U
Abstract
We prove that the oft-used stationary-phase method gives a very accurate ex pression for the Fourier transform of the gravitational-wave signal produce d by an inspiraling compact binary. We give three arguments. First, we anal ytically calculate the next-order correction to the stationary-phase approx imation, and show that it is small. This calculation is essentially an appl ication of the steepest-descent method to evaluate integrals. Second, we nu merically compare the stationary-phase expression to the results obtained b y fast Fourier transform. We show that the differences can be fully attribu ted to the windowing of the time series, and that they have nothing to do w ith an intrinsic failure of the stationary-phase method. And third, we show that these differences are negligible for the practical application of mat ched filtering. [S0556-2821(99)00414-2].