The linear sampling method for anisotropic media

Fioralba Cakoni; David Colton; Houssem Haddar

doi:10.1016/S0377-0427(02)00361-8

The linear sampling method for anisotropic media

Fioralba Cakoni, David Colton, Houssem Haddar

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

85 Scopus citations

Abstract

We consider the inverse scattering problem of determining the support of an anisotropic inhomogeneous medium from a knowledge of the incident and scattered time harmonic acoustic wave at fixed frequency. To this end, we extend the linear sampling method from the isotropic case to the case of anisotropic medium. In the case when the coefficients are real we also show that the set of transmission eigenvalues forms a discrete set.

Original language	English (US)
Pages (from-to)	285-299
Number of pages	15
Journal	Journal of Computational and Applied Mathematics
Volume	146
Issue number	2
DOIs	https://doi.org/10.1016/S0377-0427(02)00361-8
State	Published - Sep 15 2002
Externally published	Yes

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Keywords

Anisotropic medium
Inverse scattering
Linear sampling method

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10.1016/S0377-0427(02)00361-8

Cite this

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title = "The linear sampling method for anisotropic media",

abstract = "We consider the inverse scattering problem of determining the support of an anisotropic inhomogeneous medium from a knowledge of the incident and scattered time harmonic acoustic wave at fixed frequency. To this end, we extend the linear sampling method from the isotropic case to the case of anisotropic medium. In the case when the coefficients are real we also show that the set of transmission eigenvalues forms a discrete set.",

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T1 - The linear sampling method for anisotropic media

AU - Cakoni, Fioralba

AU - Colton, David

AU - Haddar, Houssem

PY - 2002/9/15

Y1 - 2002/9/15

N2 - We consider the inverse scattering problem of determining the support of an anisotropic inhomogeneous medium from a knowledge of the incident and scattered time harmonic acoustic wave at fixed frequency. To this end, we extend the linear sampling method from the isotropic case to the case of anisotropic medium. In the case when the coefficients are real we also show that the set of transmission eigenvalues forms a discrete set.

AB - We consider the inverse scattering problem of determining the support of an anisotropic inhomogeneous medium from a knowledge of the incident and scattered time harmonic acoustic wave at fixed frequency. To this end, we extend the linear sampling method from the isotropic case to the case of anisotropic medium. In the case when the coefficients are real we also show that the set of transmission eigenvalues forms a discrete set.

KW - Anisotropic medium

KW - Inverse scattering

KW - Linear sampling method

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U2 - 10.1016/S0377-0427(02)00361-8

DO - 10.1016/S0377-0427(02)00361-8

M3 - Article

AN - SCOPUS:0037106174

SN - 0377-0427

VL - 146

SP - 285

EP - 299

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

ER -

The linear sampling method for anisotropic media

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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