An Analytical Solution of the Multiple Scattering from a Buried Medium Coated Conducting Sphere
Based on the image method and addition theorem of spherical vector wave functions, an analytical solution of the multiple scattering by a buried medium-coated conducting sphere is proposed in this paper. An iterative process to obtain the scattered electromagnetic field is discussed on the basis of...
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MDPI AG
2022-05-01
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Series: | Electronics |
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Online Access: | https://www.mdpi.com/2079-9292/11/10/1632 |
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author | Chuan Yin Liangjie Wu Pengquan Zhang Youlin Geng |
author_facet | Chuan Yin Liangjie Wu Pengquan Zhang Youlin Geng |
author_sort | Chuan Yin |
collection | DOAJ |
description | Based on the image method and addition theorem of spherical vector wave functions, an analytical solution of the multiple scattering by a buried medium-coated conducting sphere is proposed in this paper. An iterative process to obtain the scattered electromagnetic field is discussed on the basis of the continuous boundary condition in the plane boundary, the medium inner and the outer surface of a coated conducting sphere, respectively. Applying an image method and the addition theorem of spherical vector wave functions, the scattering electromagnetic fields by the plane in a local coordinate system can be transformed into the globe coordinate, and they can be regarded as the next incident electromagnetic fields to the buried medium-coated conducting sphere. This process does not end until the scattering electrical field on the plane boundary is accurate enough. Numerical results are given and compared with commercial software FEKO, they coincide enough; the calculation times of the present method are very short compared to those of the software FEKO, and some discussion is given at the end of this paper. |
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issn | 2079-9292 |
language | English |
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spelling | doaj.art-5c802fd3bf7b4c06b97bd04a9ad66ee12023-11-23T10:48:02ZengMDPI AGElectronics2079-92922022-05-011110163210.3390/electronics11101632An Analytical Solution of the Multiple Scattering from a Buried Medium Coated Conducting SphereChuan Yin0Liangjie Wu1Pengquan Zhang2Youlin Geng3Institute of Antennas and Microwaves, Hangzhou Dianzi University, Hangzhou 310018, ChinaInstitute of Antennas and Microwaves, Hangzhou Dianzi University, Hangzhou 310018, ChinaInstitute of Antennas and Microwaves, Hangzhou Dianzi University, Hangzhou 310018, ChinaInstitute of Antennas and Microwaves, Hangzhou Dianzi University, Hangzhou 310018, ChinaBased on the image method and addition theorem of spherical vector wave functions, an analytical solution of the multiple scattering by a buried medium-coated conducting sphere is proposed in this paper. An iterative process to obtain the scattered electromagnetic field is discussed on the basis of the continuous boundary condition in the plane boundary, the medium inner and the outer surface of a coated conducting sphere, respectively. Applying an image method and the addition theorem of spherical vector wave functions, the scattering electromagnetic fields by the plane in a local coordinate system can be transformed into the globe coordinate, and they can be regarded as the next incident electromagnetic fields to the buried medium-coated conducting sphere. This process does not end until the scattering electrical field on the plane boundary is accurate enough. Numerical results are given and compared with commercial software FEKO, they coincide enough; the calculation times of the present method are very short compared to those of the software FEKO, and some discussion is given at the end of this paper.https://www.mdpi.com/2079-9292/11/10/1632electromagnetic scatteringburied medium coated conducting sphereplane wave expandedrecursive algorithmaddition theorem |
spellingShingle | Chuan Yin Liangjie Wu Pengquan Zhang Youlin Geng An Analytical Solution of the Multiple Scattering from a Buried Medium Coated Conducting Sphere Electronics electromagnetic scattering buried medium coated conducting sphere plane wave expanded recursive algorithm addition theorem |
title | An Analytical Solution of the Multiple Scattering from a Buried Medium Coated Conducting Sphere |
title_full | An Analytical Solution of the Multiple Scattering from a Buried Medium Coated Conducting Sphere |
title_fullStr | An Analytical Solution of the Multiple Scattering from a Buried Medium Coated Conducting Sphere |
title_full_unstemmed | An Analytical Solution of the Multiple Scattering from a Buried Medium Coated Conducting Sphere |
title_short | An Analytical Solution of the Multiple Scattering from a Buried Medium Coated Conducting Sphere |
title_sort | analytical solution of the multiple scattering from a buried medium coated conducting sphere |
topic | electromagnetic scattering buried medium coated conducting sphere plane wave expanded recursive algorithm addition theorem |
url | https://www.mdpi.com/2079-9292/11/10/1632 |
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