Time-dependent wave splitting and source separation

Starting from classical absorbing boundary conditions, we propose a method for the separation of time-dependent scattered wave fields due to multiple sources or obstacles. In contrast to previous techniques, our method is local in space and time, deterministic, and avoids a priori assumptions on the...

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Bibliographic Details
Published in:Journal of computational physics 2017-02, Vol.330, p.981-996
Main Authors: Grote, Marcus J., Kray, Marie, Nataf, Frédéric, Assous, Franck
Format: Article
Language:English
Subjects:
Absorbing boundary conditions
Boundary conditions
Computational physics
Frequency spectrum
Mathematics
Numerical Analysis
Scattering
Separation
Source separation
Splitting
Time dependence
Time-dependent scattering
Wave splitting
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Summary:Starting from classical absorbing boundary conditions, we propose a method for the separation of time-dependent scattered wave fields due to multiple sources or obstacles. In contrast to previous techniques, our method is local in space and time, deterministic, and avoids a priori assumptions on the frequency spectrum of the signal. Numerical examples in two space dimensions illustrate the usefulness of wave splitting for time-dependent scattering problems.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2016.10.021