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Volume 9, Issue 2
A Direct Sampling Method for Recovering Electromagnetic Dipolar Sources

Sara Bousba, Yukun Guo, Yipeng Zhang & Longsuo Li

DOI: 10.4208/eajam.030818.061118

East Asian J. Appl. Math., 9 (2019), pp. 252-269.

Published online: 2019-03

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  • Abstract

An inverse source problem for time-harmonic Maxwell equation is studied and a direct sampling method to recover the location and the moments of electric current dipoles from near- and far-field data at a fixed frequency is developed. The method is based on a new indicator function and requires the evaluation of simple integrals only. It is easily implementable and efficient. Numerical examples demonstrate the robustness of the method with respect to noisy measurements and its capability in identifying the source location and the moments.

  • Keywords

Inverse source problem, Maxwell equation, direct sampling method, dipole, time-harmonic.

  • AMS Subject Headings

49N45, 65L32, 65N21

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-9-252, author = {Sara Bousba, Yukun Guo, Yipeng Zhang and Longsuo Li}, title = {A Direct Sampling Method for Recovering Electromagnetic Dipolar Sources}, journal = {East Asian Journal on Applied Mathematics}, year = {2019}, volume = {9}, number = {2}, pages = {252--269}, abstract = {

An inverse source problem for time-harmonic Maxwell equation is studied and a direct sampling method to recover the location and the moments of electric current dipoles from near- and far-field data at a fixed frequency is developed. The method is based on a new indicator function and requires the evaluation of simple integrals only. It is easily implementable and efficient. Numerical examples demonstrate the robustness of the method with respect to noisy measurements and its capability in identifying the source location and the moments.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.030818.061118}, url = {http://global-sci.org/intro/article_detail/eajam/13081.html} }
TY - JOUR T1 - A Direct Sampling Method for Recovering Electromagnetic Dipolar Sources AU - Sara Bousba, Yukun Guo, Yipeng Zhang & Longsuo Li JO - East Asian Journal on Applied Mathematics VL - 2 SP - 252 EP - 269 PY - 2019 DA - 2019/03 SN - 9 DO - http://doi.org/10.4208/eajam.030818.061118 UR - https://global-sci.org/intro/article_detail/eajam/13081.html KW - Inverse source problem, Maxwell equation, direct sampling method, dipole, time-harmonic. AB -

An inverse source problem for time-harmonic Maxwell equation is studied and a direct sampling method to recover the location and the moments of electric current dipoles from near- and far-field data at a fixed frequency is developed. The method is based on a new indicator function and requires the evaluation of simple integrals only. It is easily implementable and efficient. Numerical examples demonstrate the robustness of the method with respect to noisy measurements and its capability in identifying the source location and the moments.

Sara Bousba, Yukun Guo, Yipeng Zhang and Longsuo Li. (2019). A Direct Sampling Method for Recovering Electromagnetic Dipolar Sources. East Asian Journal on Applied Mathematics. 9 (2). 252-269. doi:10.4208/eajam.030818.061118
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