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  Gravitational waves from inspiraling compact binaries: Validity of the stationary-phase approximation to the Fourier transform.

Droz, S., Knapp, D. J., Poisson, E., & Owen, B. J. (1999). Gravitational waves from inspiraling compact binaries: Validity of the stationary-phase approximation to the Fourier transform. Physical Review D, 59(12): 124016. doi:10.1103/PhysRevD.59.124016.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-589A-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-589B-1
Genre: Journal Article

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PhyRevD59-124016.pdf (Publisher version), 151KB
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 Creators:
Droz, Serge, Author
Knapp, Daniel J., Author
Poisson, Eric, Author
Owen, Benjamin J.1, Author              
Affiliations:
1Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, escidoc:24011              

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 Abstract: We prove that the oft-used stationary-phase method gives a very accurate expression for the Fourier transform of the gravitational-wave signal produced by an inspiraling compact binary. We give three arguments. First, we analytically calculate the next-order correction to the stationary-phase approximation, and show that it is small. This calculation is essentially an application of the steepest-descent method to evaluate integrals. Second, we numerically compare the stationary-phase expression to the results obtained by fast Fourier transform. We show that the differences can be fully attributed to the windowing of the time series, and that they have nothing to do with an intrinsic failure of the stationary-phase method. And third, we show that these differences are negligible for the practical application of matched filtering.

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 Dates: 1999
 Publication Status: Published in print
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 59 (12) Sequence Number: 124016 Start / End Page: - Identifier: ISSN: 1089-4918