傅里叶变换
数学
电磁场
频域
近场和远场
声学
快速傅里叶变换
傅里叶分析
算法
数学分析
作者
Xianchao Wang,Minghui Song,Yukun Guo,Hongjie Li,Hongyu Liu
标识
DOI:10.1016/j.cam.2019.03.013
摘要
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 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.
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