On the use of the reciprocity-gap functional in inverse scattering from planar cracks

Amel Den Abda; Fabrice Delbary; Houssem Haddar

doi:10.1142/S0218202505000819

On the use of the reciprocity-gap functional in inverse scattering from planar cracks

Amel Den Abda, Fabrice Delbary, Houssem Haddar

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

Abstract

We consider the inverse problem of determining the shape and location of planar screens inside a 3D body through acoustic or electromagnetic imaging. In order to determine the flaws we perform acoustic measurements with prescribed over-determined boundary data. The reciprocity gap concept is exploited to determine sound-hard planar screens of general shapes.

Original language	English
Pages (from-to)	1553-1574
Number of pages	22
Journal	Mathematical Models and Methods in Applied Sciences
Volume	15
Issue number	10
DOIs	https://doi.org/10.1142/S0218202505000819
Publication status	Published - 1 Oct 2005

Keywords

Inverse scattering
Planar cracks recovering
Reciprocity Gap functional

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title = "On the use of the reciprocity-gap functional in inverse scattering from planar cracks",

abstract = "We consider the inverse problem of determining the shape and location of planar screens inside a 3D body through acoustic or electromagnetic imaging. In order to determine the flaws we perform acoustic measurements with prescribed over-determined boundary data. The reciprocity gap concept is exploited to determine sound-hard planar screens of general shapes.",

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AU - Abda, Amel Den

AU - Delbary, Fabrice

AU - Haddar, Houssem

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Y1 - 2005/10/1

N2 - We consider the inverse problem of determining the shape and location of planar screens inside a 3D body through acoustic or electromagnetic imaging. In order to determine the flaws we perform acoustic measurements with prescribed over-determined boundary data. The reciprocity gap concept is exploited to determine sound-hard planar screens of general shapes.

AB - We consider the inverse problem of determining the shape and location of planar screens inside a 3D body through acoustic or electromagnetic imaging. In order to determine the flaws we perform acoustic measurements with prescribed over-determined boundary data. The reciprocity gap concept is exploited to determine sound-hard planar screens of general shapes.

KW - Inverse scattering

KW - Planar cracks recovering

KW - Reciprocity Gap functional

U2 - 10.1142/S0218202505000819

DO - 10.1142/S0218202505000819

M3 - Article

AN - SCOPUS:25144454913

SN - 0218-2025

VL - 15

SP - 1553

EP - 1574

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

IS - 10

ER -

On the use of the reciprocity-gap functional in inverse scattering from planar cracks

Abstract

Keywords

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