利用多频远场数据识别电磁源的傅里叶方法
Fourier method for identifying electromagnetic sources with multi-frequency far-field data
摘要：
我们考虑了确定与齐次麦克斯韦系统相关的未知矢量源电流分布的反问题。我们提出了一种新的非迭代重建方法来解决上述远场测量的逆问题。该方法是基于恢复的傅里叶系数的未知源。该方法的一个关键组成部分是建立多频远场数据与傅里叶系数之间的关系。所提出的重建方法的唯一性和稳定性的结果。数值实验表明了该方法的有效性。
英文摘要：
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 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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