The singular sources method for cracks

Morteza Fotouhi

doi:10.1002/mma.829

The singular sources method for cracks

Morteza Fotouhi

Research output: Journal Publication › Article › peer-review

2 Citations (Scopus)

Abstract

The singular sources method is given to detect the shape of a thin infinitely cylindrical obstacle from a knowledge of the TM-polarized scattered electromagnetic field in large distance. The basic idea is based on the singular behaviour of the scattered field of the incident point source on the cross-section of the cylinder. We assume that the scatterer is a perfect conductor which is possibly coated by a material and investigate two models with different boundary conditions. Also we give a uniqueness proof for the shape reconstruction.

Original language	English
Pages (from-to)	1121-1134
Number of pages	14
Journal	Mathematical Methods in the Applied Sciences
Volume	30
Issue number	10
DOIs	https://doi.org/10.1002/mma.829
Publication status	Published - 10 Jul 2007
Externally published	Yes

Keywords

Cylindrical obstacle
Inverse scattering
Singular sources method

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.829

Cite this

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abstract = "The singular sources method is given to detect the shape of a thin infinitely cylindrical obstacle from a knowledge of the TM-polarized scattered electromagnetic field in large distance. The basic idea is based on the singular behaviour of the scattered field of the incident point source on the cross-section of the cylinder. We assume that the scatterer is a perfect conductor which is possibly coated by a material and investigate two models with different boundary conditions. Also we give a uniqueness proof for the shape reconstruction.",

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AU - Fotouhi, Morteza

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AB - The singular sources method is given to detect the shape of a thin infinitely cylindrical obstacle from a knowledge of the TM-polarized scattered electromagnetic field in large distance. The basic idea is based on the singular behaviour of the scattered field of the incident point source on the cross-section of the cylinder. We assume that the scatterer is a perfect conductor which is possibly coated by a material and investigate two models with different boundary conditions. Also we give a uniqueness proof for the shape reconstruction.

KW - Cylindrical obstacle

KW - Inverse scattering

KW - Singular sources method

UR - https://www.scopus.com/pages/publications/34250342284

U2 - 10.1002/mma.829

DO - 10.1002/mma.829

M3 - Article

AN - SCOPUS:34250342284

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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 10

ER -

The singular sources method for cracks

Abstract

Keywords

ASJC Scopus subject areas

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