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Volume 23, Issue 5
A Direct Imaging Method for Inverse Electromagnetic Scattering Problem in Rectangular Waveguide

Junqing Chen & Guanghui Huang

DOI: 10.4208/cicp.OA-2017-0048

Commun. Comput. Phys., 23 (2018), pp. 1415-1433.

Published online: 2018-04

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  • Abstract

We propose a direct imaging method based on reverse time migration (RTM) algorithm for imaging extended targets using electromagnetic waves at a fixed frequency in the rectangular waveguide. The imaging functional is defined as the imaginary part of the cross-correlation of the Green function for Helmholtz equation and the back-propagated electromagnetic field. The resolution of our RTM method for penetrable extended targets is studied by virtue of Helmholtz-Kirchhoff identity in the rectangular domain, which implies that the imaging functional always peaks in the target. Numerical examples are provided to demonstrate the powerful imaging quality and confirm our theoretical results.

  • Keywords

Electromagnetic waveguide, inverse scattering problem, reverse time migration, extended obstacle.

  • AMS Subject Headings

65N21, 78A46

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-23-1415, author = {Junqing Chen and Guanghui Huang}, title = {A Direct Imaging Method for Inverse Electromagnetic Scattering Problem in Rectangular Waveguide}, journal = {Communications in Computational Physics}, year = {2018}, volume = {23}, number = {5}, pages = {1415--1433}, abstract = {

We propose a direct imaging method based on reverse time migration (RTM) algorithm for imaging extended targets using electromagnetic waves at a fixed frequency in the rectangular waveguide. The imaging functional is defined as the imaginary part of the cross-correlation of the Green function for Helmholtz equation and the back-propagated electromagnetic field. The resolution of our RTM method for penetrable extended targets is studied by virtue of Helmholtz-Kirchhoff identity in the rectangular domain, which implies that the imaging functional always peaks in the target. Numerical examples are provided to demonstrate the powerful imaging quality and confirm our theoretical results.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0048}, url = {http://global-sci.org/intro/article_detail/cicp/11221.html} }
TY - JOUR T1 - A Direct Imaging Method for Inverse Electromagnetic Scattering Problem in Rectangular Waveguide AU - Junqing Chen & Guanghui Huang JO - Communications in Computational Physics VL - 5 SP - 1415 EP - 1433 PY - 2018 DA - 2018/04 SN - 23 DO - http://doi.org/10.4208/cicp.OA-2017-0048 UR - https://global-sci.org/intro/article_detail/cicp/11221.html KW - Electromagnetic waveguide, inverse scattering problem, reverse time migration, extended obstacle. AB -

We propose a direct imaging method based on reverse time migration (RTM) algorithm for imaging extended targets using electromagnetic waves at a fixed frequency in the rectangular waveguide. The imaging functional is defined as the imaginary part of the cross-correlation of the Green function for Helmholtz equation and the back-propagated electromagnetic field. The resolution of our RTM method for penetrable extended targets is studied by virtue of Helmholtz-Kirchhoff identity in the rectangular domain, which implies that the imaging functional always peaks in the target. Numerical examples are provided to demonstrate the powerful imaging quality and confirm our theoretical results.

Junqing Chen and Guanghui Huang. (2018). A Direct Imaging Method for Inverse Electromagnetic Scattering Problem in Rectangular Waveguide. Communications in Computational Physics. 23 (5). 1415-1433. doi:10.4208/cicp.OA-2017-0048
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