The singular sources method for an inverse problem with mixed boundary conditions

Morteza Fotouhi; Mahmoud Hesaaraki

doi:10.1016/j.jmaa.2004.12.037

The singular sources method for an inverse problem with mixed boundary conditions

Morteza Fotouhi, Mahmoud Hesaaraki

Research output: Journal Publication › Article › peer-review

9 Citations (Scopus)

Abstract

We use the singular sources method to detect the shape of the obstacle in a mixed boundary value problem. The basic idea of the method is based on the singular behavior of the scattered field of the incident point-sources on the boundary of the obstacle. Moreover we take advantage of the scattered field estimate by the backprojection operator. Also we give a uniqueness proof for the shape reconstruction.

Original language	English
Pages (from-to)	122-135
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	306
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2004.12.037
Publication status	Published - 1 Jun 2005
Externally published	Yes

Keywords

Inverse scattering
Mixed boundary conditions
Singular sources method

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2004.12.037

Cite this

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title = "The singular sources method for an inverse problem with mixed boundary conditions",

abstract = "We use the singular sources method to detect the shape of the obstacle in a mixed boundary value problem. The basic idea of the method is based on the singular behavior of the scattered field of the incident point-sources on the boundary of the obstacle. Moreover we take advantage of the scattered field estimate by the backprojection operator. Also we give a uniqueness proof for the shape reconstruction.",

keywords = "Inverse scattering, Mixed boundary conditions, Singular sources method",

author = "Morteza Fotouhi and Mahmoud Hesaaraki",

year = "2005",

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T1 - The singular sources method for an inverse problem with mixed boundary conditions

AU - Fotouhi, Morteza

AU - Hesaaraki, Mahmoud

PY - 2005/6/1

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N2 - We use the singular sources method to detect the shape of the obstacle in a mixed boundary value problem. The basic idea of the method is based on the singular behavior of the scattered field of the incident point-sources on the boundary of the obstacle. Moreover we take advantage of the scattered field estimate by the backprojection operator. Also we give a uniqueness proof for the shape reconstruction.

AB - We use the singular sources method to detect the shape of the obstacle in a mixed boundary value problem. The basic idea of the method is based on the singular behavior of the scattered field of the incident point-sources on the boundary of the obstacle. Moreover we take advantage of the scattered field estimate by the backprojection operator. Also we give a uniqueness proof for the shape reconstruction.

KW - Inverse scattering

KW - Mixed boundary conditions

KW - Singular sources method

UR - https://www.scopus.com/pages/publications/16344387362

U2 - 10.1016/j.jmaa.2004.12.037

DO - 10.1016/j.jmaa.2004.12.037

M3 - Article

AN - SCOPUS:16344387362

SN - 0022-247X

VL - 306

SP - 122

EP - 135

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

The singular sources method for an inverse problem with mixed boundary conditions

Abstract

Keywords

ASJC Scopus subject areas

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