A direct sampling method for recovering electromagnetic dipolar sources

Sara Bousba; Yukun Guo; Yipeng Zhang; Longsuo Li

doi:10.4208/eajam.030818.061118

A direct sampling method for recovering electromagnetic dipolar sources

Sara Bousba
, Yukun Guo^*
, Yipeng Zhang
, Longsuo Li

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology
Ferhat Abbas Sétif University 1

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

2 Scopus citations

Abstract

An inverse source problem for time-harmonic Maxwell equation is studied and a direct sampling method to recover the location and the moments of electric current dipoles from near- and far-field data at a fixed frequency is developed. The method is based on a new indicator function and requires the evaluation of simple integrals only. It is easily implementable and efficient. Numerical examples demonstrate the robustness of the method with respect to noisy measurements and its capability in identifying the source location and the moments.

Original language	English
Pages (from-to)	252-269
Number of pages	18
Journal	East Asian Journal on Applied Mathematics
Volume	9
Issue number	2
DOIs	https://doi.org/10.4208/eajam.030818.061118
State	Published - May 2019

Keywords

Dipole
Direct sampling method
Inverse source problem
Maxwell equation
Time-harmonic

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10.4208/eajam.030818.061118

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title = "A direct sampling method for recovering electromagnetic dipolar sources",

abstract = "An inverse source problem for time-harmonic Maxwell equation is studied and a direct sampling method to recover the location and the moments of electric current dipoles from near- and far-field data at a fixed frequency is developed. The method is based on a new indicator function and requires the evaluation of simple integrals only. It is easily implementable and efficient. Numerical examples demonstrate the robustness of the method with respect to noisy measurements and its capability in identifying the source location and the moments.",

keywords = "Dipole, Direct sampling method, Inverse source problem, Maxwell equation, Time-harmonic",

author = "Sara Bousba and Yukun Guo and Yipeng Zhang and Longsuo Li",

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AU - Bousba, Sara

AU - Guo, Yukun

AU - Zhang, Yipeng

AU - Li, Longsuo

PY - 2019/5

Y1 - 2019/5

N2 - An inverse source problem for time-harmonic Maxwell equation is studied and a direct sampling method to recover the location and the moments of electric current dipoles from near- and far-field data at a fixed frequency is developed. The method is based on a new indicator function and requires the evaluation of simple integrals only. It is easily implementable and efficient. Numerical examples demonstrate the robustness of the method with respect to noisy measurements and its capability in identifying the source location and the moments.

AB - An inverse source problem for time-harmonic Maxwell equation is studied and a direct sampling method to recover the location and the moments of electric current dipoles from near- and far-field data at a fixed frequency is developed. The method is based on a new indicator function and requires the evaluation of simple integrals only. It is easily implementable and efficient. Numerical examples demonstrate the robustness of the method with respect to noisy measurements and its capability in identifying the source location and the moments.

KW - Dipole

KW - Direct sampling method

KW - Inverse source problem

KW - Maxwell equation

KW - Time-harmonic

UR - https://www.scopus.com/pages/publications/85074308773

U2 - 10.4208/eajam.030818.061118

DO - 10.4208/eajam.030818.061118

M3 - 文章

AN - SCOPUS:85074308773

SN - 2079-7362

VL - 9

SP - 252

EP - 269

JO - East Asian Journal on Applied Mathematics

JF - East Asian Journal on Applied Mathematics

IS - 2

ER -

A direct sampling method for recovering electromagnetic dipolar sources

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Keywords

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