DOI: 10.1121/1.423034. The evolution of phase fronts and the method of strained coordinates

The evolution of phase fronts and the method of strained coordinates

10.1121/1.423034

Crossref journal-article

Acoustical Society of America (ASA)

The Journal of the Acoustical Society of America (231)

Abstract

When waves propagate through a medium with smooth velocity perturbations the propagation of wavefronts is determined by the eikonal equation. Here the propagation of wavefronts through a medium with small-scale velocity perturbations is analyzed using the method of strained coordinates. A partial differential equation for the first-order perturbation of wavefronts is derived that includes frequency-dependent wave propagation effects. It is shown that for the special case of the scalar Helmholtz equation with a homogeneous reference medium this leads to the same perturbation of wavefronts as obtained from the Rytov approximation. However, the method presented here can possibly be generalized to more complex wave propagation problems where the Rytov approximation cannot be used, such as the propagation of vector waves.

Bibliography

Snieder, R. (1998). The evolution of phase fronts and the method of strained coordinates. The Journal of the Acoustical Society of America, 103(6), 3180â3183.

Authors 1

Roel Snieder (first)

References 7 Referenced 3

{'key': '2023071410105047800_r1'}
10.1111/j.1365-246X.1996.tb06024.x / Geophys. J. Int. / Wave field smoothing and the effect of rough velocity perturbations on arrival times and amplitudes (1996)
{'key': '2023071410105047800_r3', 'first-page': '89', 'article-title': 'The reciprocity properties of geometrical spreading', 'volume': '132', 'year': '1998', 'journal-title': 'Geophys. J. Int.'} / Geophys. J. Int. / The reciprocity properties of geometrical spreading (1998)
{'key': '2023071410105047800_r4'}
10.1090/qam/99865 / Q. Appl. Math. / A singular perturbation method, Part II (1968)
{'key': '2023071410105047800_r6'}
10.1016/0165-2125(94)90001-9 / Wave Motion / Generalized Born scattering in anisotropic media (1994)

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 10:05 a.m.)
Deposited	2 years, 1 month ago (July 14, 2023, 6:14 a.m.)
Indexed	1 year, 11 months ago (Sept. 23, 2023, 5:29 a.m.)
Issued	27 years, 2 months ago (June 1, 1998)
Published	27 years, 2 months ago (June 1, 1998)
Published Print	27 years, 2 months ago (June 1, 1998)

Funders 0

None

BibTeX

@article{Snieder_1998, title={The evolution of phase fronts and the method of strained coordinates}, volume={103}, ISSN={1520-8524}, url={http://dx.doi.org/10.1121/1.423034}, DOI={10.1121/1.423034}, number={6}, journal={The Journal of the Acoustical Society of America}, publisher={Acoustical Society of America (ASA)}, author={Snieder, Roel}, year={1998}, month=jun, pages={3180–3183} }

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