Toward a time domain approach to the linear sampling method

Y. Guo; P. Monk; D. Colton

doi:10.1088/0266-5611/29/9/095016

Toward a time domain approach to the linear sampling method

Y. Guo
, P. Monk
, D. Colton

School of Mathematics

University of Delaware

Research output: Contribution to journal › Article › peer-review

53 Scopus citations

Abstract

We consider an inverse scattering problem for time-dependent acoustic waves in an inhomogeneous medium. We wish to determine the support of the inhomogeneity from measurements of causal scattered waves by using the linear sampling method in the time domain. The performance of the algorithm is illustrated with several numerical examples, including the first examples of the use of the time domain linear sampling method in three dimensions.

Original language	English
Article number	095016
Journal	Inverse Problems
Volume	29
Issue number	9
DOIs	https://doi.org/10.1088/0266-5611/29/9/095016
State	Published - Sep 2013

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abstract = "We consider an inverse scattering problem for time-dependent acoustic waves in an inhomogeneous medium. We wish to determine the support of the inhomogeneity from measurements of causal scattered waves by using the linear sampling method in the time domain. The performance of the algorithm is illustrated with several numerical examples, including the first examples of the use of the time domain linear sampling method in three dimensions.",

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AB - We consider an inverse scattering problem for time-dependent acoustic waves in an inhomogeneous medium. We wish to determine the support of the inhomogeneity from measurements of causal scattered waves by using the linear sampling method in the time domain. The performance of the algorithm is illustrated with several numerical examples, including the first examples of the use of the time domain linear sampling method in three dimensions.

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JO - Inverse Problems

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Toward a time domain approach to the linear sampling method

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