Solving the multi-frequency electromagnetic inverse source problem by the Fourier method

Guan Wang; Fuming Ma; Yukun Guo; Jingzhi Li

doi:10.1016/j.jde.2018.02.036

Solving the multi-frequency electromagnetic inverse source problem by the Fourier method

Guan Wang
, Fuming Ma
, Yukun Guo^*
, Jingzhi Li

^*Corresponding author for this work

School of Mathematics

School of Mathematics
Northeast Electric Power University
Southern University of Science and Technology

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

26 Scopus citations

Abstract

This work is concerned with an inverse problem of identifying the current source distribution of the time-harmonic Maxwell's equations from multi-frequency measurements. Motivated by the Fourier method for the scalar Helmholtz equation and the polarization vector decomposition, we propose a novel method for determining the source function in the full vector Maxwell's system. Rigorous mathematical justifications of the method are given and numerical examples are provided to demonstrate the feasibility and effectiveness of the method.

Original language	English
Pages (from-to)	417-443
Number of pages	27
Journal	Journal of Differential Equations
Volume	265
Issue number	1
DOIs	https://doi.org/10.1016/j.jde.2018.02.036
State	Published - 5 Jul 2018

Keywords

Fourier method
Inverse source problem
Maxwell's equations
Multi-frequency
Time-harmonic

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10.1016/j.jde.2018.02.036

Cite this

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abstract = "This work is concerned with an inverse problem of identifying the current source distribution of the time-harmonic Maxwell's equations from multi-frequency measurements. Motivated by the Fourier method for the scalar Helmholtz equation and the polarization vector decomposition, we propose a novel method for determining the source function in the full vector Maxwell's system. Rigorous mathematical justifications of the method are given and numerical examples are provided to demonstrate the feasibility and effectiveness of the method.",

keywords = "Fourier method, Inverse source problem, Maxwell's equations, Multi-frequency, Time-harmonic",

author = "Guan Wang and Fuming Ma and Yukun Guo and Jingzhi Li",

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AU - Li, Jingzhi

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Y1 - 2018/7/5

N2 - This work is concerned with an inverse problem of identifying the current source distribution of the time-harmonic Maxwell's equations from multi-frequency measurements. Motivated by the Fourier method for the scalar Helmholtz equation and the polarization vector decomposition, we propose a novel method for determining the source function in the full vector Maxwell's system. Rigorous mathematical justifications of the method are given and numerical examples are provided to demonstrate the feasibility and effectiveness of the method.

AB - This work is concerned with an inverse problem of identifying the current source distribution of the time-harmonic Maxwell's equations from multi-frequency measurements. Motivated by the Fourier method for the scalar Helmholtz equation and the polarization vector decomposition, we propose a novel method for determining the source function in the full vector Maxwell's system. Rigorous mathematical justifications of the method are given and numerical examples are provided to demonstrate the feasibility and effectiveness of the method.

KW - Fourier method

KW - Inverse source problem

KW - Maxwell's equations

KW - Multi-frequency

KW - Time-harmonic

UR - https://www.scopus.com/pages/publications/85042659996

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DO - 10.1016/j.jde.2018.02.036

M3 - 文章

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SN - 0022-0396

VL - 265

SP - 417

EP - 443

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 1

ER -

Solving the multi-frequency electromagnetic inverse source problem by the Fourier method

Abstract

Keywords

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