@article{be73935830ec46558a6b6344f1a231cb,
title = "Fourier method for identifying electromagnetic sources with multi-frequency far-field data",
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.",
keywords = "Far-field, Fourier expansion, Inverse source problem, Maxwell system, Multi-frequency",
author = "Xianchao Wang and Minghui Song and Yukun Guo and Hongjie Li and Hongyu LIU",
note = "Funding Information: The work of M. Song was supported by the NSF, China grant of China under 11671113. The work of Y. Guo was supported by the NSF, China grants of China under 11601107, 11671111 and 41474102. The work of H. Liu was supported by the FRG, China and startup grants from Hong Kong Baptist University, Hong Kong RGC General Research Funds, 12302415 and 12302017. The authors would also like to thank the anonymous referees for their insightful and constructive comments and suggestions on this work. Funding Information: The work of M. Song was supported by the NSF, China grant of China under 11671113 . The work of Y. Guo was supported by the NSF, China grants of China under 11601107 , 11671111 and 41474102 . The work of H. Liu was supported by the FRG, China and startup grants from Hong Kong Baptist University , Hong Kong RGC General Research Funds, 12302415 and 12302017 . The authors would also like to thank the anonymous referees for their insightful and constructive comments and suggestions on this work.",
year = "2019",
month = oct,
day = "1",
doi = "10.1016/j.cam.2019.03.013",
language = "English",
volume = "358",
pages = "279--292",
journal = "Journal of Computational and Applied Mathematics",
issn = "0377-0427",
publisher = "Elsevier",
}