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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:265

Article

Wang, Guan^1,2  Ma, Fuming¹  Guo, Yukun³  Li, Jingzhi⁴ 

[1] Jilin Univ, Sch Math, Changchun, Jilin, Peoples R China

[2] Northeast Elect Power Univ, Sch Sci, Jilin, Jilin, Peoples R China

[3] Harbin Inst Technol, Dept Math, Harbin, Heilongjiang, Peoples R China

[4] Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China

关键词: Inverse source problem;    Maxwell's equations;    Fourier method;    Multi-frequency;    Time-harmonic;   

DOI  :  10.1016/j.jde.2018.02.036

来源: Elsevier

【 摘 要 】

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. (c) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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