Inverse electromagnetic scattering for a locally perturbed perfectly conducting plate

Heping Dong; Fuming Ma; Xiaokai Yuan; Yukun Guo

doi:10.1016/j.wavemoti.2015.09.004

Inverse electromagnetic scattering for a locally perturbed perfectly conducting plate

Heping Dong^*
, Fuming Ma
, Xiaokai Yuan
, Yukun Guo

^*Corresponding author for this work

School of Mathematics

Jilin University

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

5 Scopus citations

Abstract

We consider a simple but fully three-dimensional inverse problem to determine the shape of a local perturbation of a perfectly conducting plate from far-field measurements of time harmonic electromagnetic fields. For this purpose we reformulate the model problem as an exterior Maxwell problem for a symmetric domain, and prove an equivalence between the model problem and its reformulation. Then, linear sampling method is applied to solve the reformulated problem. We illustrate the feasibility of this method by some numerical examples.

Original language	English
Pages (from-to)	95-107
Number of pages	13
Journal	Wave Motion
Volume	60
DOIs	https://doi.org/10.1016/j.wavemoti.2015.09.004
State	Published - 1 Jan 2016

Keywords

Inverse electromagnetic scattering problem
Linear sampling method
Locally rough surface
Maxwell's equations

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10.1016/j.wavemoti.2015.09.004

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title = "Inverse electromagnetic scattering for a locally perturbed perfectly conducting plate",

abstract = "We consider a simple but fully three-dimensional inverse problem to determine the shape of a local perturbation of a perfectly conducting plate from far-field measurements of time harmonic electromagnetic fields. For this purpose we reformulate the model problem as an exterior Maxwell problem for a symmetric domain, and prove an equivalence between the model problem and its reformulation. Then, linear sampling method is applied to solve the reformulated problem. We illustrate the feasibility of this method by some numerical examples.",

keywords = "Inverse electromagnetic scattering problem, Linear sampling method, Locally rough surface, Maxwell's equations",

author = "Heping Dong and Fuming Ma and Xiaokai Yuan and Yukun Guo",

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AU - Dong, Heping

AU - Ma, Fuming

AU - Yuan, Xiaokai

AU - Guo, Yukun

PY - 2016/1/1

Y1 - 2016/1/1

N2 - We consider a simple but fully three-dimensional inverse problem to determine the shape of a local perturbation of a perfectly conducting plate from far-field measurements of time harmonic electromagnetic fields. For this purpose we reformulate the model problem as an exterior Maxwell problem for a symmetric domain, and prove an equivalence between the model problem and its reformulation. Then, linear sampling method is applied to solve the reformulated problem. We illustrate the feasibility of this method by some numerical examples.

AB - We consider a simple but fully three-dimensional inverse problem to determine the shape of a local perturbation of a perfectly conducting plate from far-field measurements of time harmonic electromagnetic fields. For this purpose we reformulate the model problem as an exterior Maxwell problem for a symmetric domain, and prove an equivalence between the model problem and its reformulation. Then, linear sampling method is applied to solve the reformulated problem. We illustrate the feasibility of this method by some numerical examples.

KW - Inverse electromagnetic scattering problem

KW - Linear sampling method

KW - Locally rough surface

KW - Maxwell's equations

UR - https://www.scopus.com/pages/publications/84947919672

U2 - 10.1016/j.wavemoti.2015.09.004

DO - 10.1016/j.wavemoti.2015.09.004

M3 - 文章

AN - SCOPUS:84947919672

SN - 0165-2125

VL - 60

SP - 95

EP - 107

JO - Wave Motion

JF - Wave Motion

ER -

Inverse electromagnetic scattering for a locally perturbed perfectly conducting plate

Abstract

Keywords

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