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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Main Authors: Chuan Yin, Liangjie Wu, Pengquan Zhang, Youlin Geng
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Electronics
Subjects:
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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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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