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arXiv · 1801.03263

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

Xianchao Wang·Minghui Song·Yukun Guo·Hongjie Li·Hongyu Liu
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Abstract

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 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.

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Xianchao Wang, Minghui Song, Yukun Guo, Hongjie Li, Hongyu Liu. 2018-01-10. Fourier method for identifying electromagnetic sources with multi-frequency far-field data. https://arxiv.org/abs/1801.03263

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