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

Droz, Serge; Knapp, Daniel J.; Poisson, Eric; Owen, Benjamin J.

doi:10.1103/PhysRevD.59.124016

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

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

MPS-Authors

/persons/resource/persons40530

Owen, Benjamin J.
Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

PhyRevD59-124016.pdf
(Publisher version), 151KB

Supplementary Material (public)

There is no public supplementary material available

Citation

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.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-589A-3

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.