Fourier method for identifying electromagnetic sources with multi-frequency far-field data

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:358

Article

Wang, Xianchao¹  Song, Minghui¹  Guo, Yukun¹  Li, Hongjie²  Liu, Hongyu² 

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

[2] Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China

关键词: Inverse source problem;    Maxwell system;    Fourier expansion;    Multi-frequency;    Far-field;   

DOI  :  10.1016/j.cam.2019.03.013

来源: Elsevier

【 摘 要 】

We consider the inverse problem of determining an unknown vectorial source current distribution associated with the homogeneous Maxwell system. We propose a novel non-iterative reconstruction method for solving the aforementioned inverse problem from multi-frequency far-field measurements. The method is based on recovering the Fourier coefficients of the unknown source. A key ingredient of the method is to establish the relationship between the Fourier coefficients and the multi-frequency far-field data. Uniqueness and stability results are established for the proposed reconstruction method. Numerical experiments are presented to illustrate the effectiveness and efficiency of the method. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free