A Fast Algorithm for Electromagnetic Scattering from One-Dimensional Rough Surface

In this paper, the Adaptive Modified Characteristic Basis Function Method (AMCBFM) is proposed for quickly simulating electromagnetic scattering from a one-dimensional perfectly electric conductor (PEC) rough surface. Similar to the traditional characteristic basis function method (CBFM), Foldy-Lax...

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Main Authors: Jing Jing Wang, An Qi Wang, Zhi Xiang Huang, Tie Zhen Jiang
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2019/7985421
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author Jing Jing Wang
An Qi Wang
Zhi Xiang Huang
Tie Zhen Jiang
author_facet Jing Jing Wang
An Qi Wang
Zhi Xiang Huang
Tie Zhen Jiang
author_sort Jing Jing Wang
collection DOAJ
description In this paper, the Adaptive Modified Characteristic Basis Function Method (AMCBFM) is proposed for quickly simulating electromagnetic scattering from a one-dimensional perfectly electric conductor (PEC) rough surface. Similar to the traditional characteristic basis function method (CBFM), Foldy-Lax multiple scattering equations are applied in order to construct the characteristic basis functions (CBFs). However, the CBFs of the AMCBFM are different from those of the CBFM. In the AMCBFM, the coefficients of the CBFs are first defined. Then, the coefficients and the CBFs are used to structure the total current, which is used to represent the induced current along the rough surface. Moreover, a current criterion is defined to adaptively halt the order of the CBFs. The validity and efficiency of the AMCBFM are assessed by comparing the numerical results of the AMCBFM with the method of moments (MoM). The AMCBFM can effectively reduce the size of the matrix, and it costs less than half the CPU time used by the MoM. Moreover, by comparing it with the traditional CBFM, the AMCBFM can guarantee the accuracy, reduce the number of iterations, and achieve better convergence performance than the CBFM does. The second order of the CBFs is set in the CBFM. Additionally, the first order of the CBFs of the AMCBFM alone is sufficient for this result.
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institution Kabale University
issn 1687-5869
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language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series International Journal of Antennas and Propagation
spelling doaj-art-93c09bdaeca2482b90bdc2f561da503f2025-02-03T00:59:26ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772019-01-01201910.1155/2019/79854217985421A Fast Algorithm for Electromagnetic Scattering from One-Dimensional Rough SurfaceJing Jing Wang0An Qi Wang1Zhi Xiang Huang2Tie Zhen Jiang3Key Laboratory of Intelligent Computing & Signal Processing, Anhui University, Hefei, Anhui 230601, ChinaKey Laboratory of Intelligent Computing & Signal Processing, Anhui University, Hefei, Anhui 230601, ChinaKey Laboratory of Intelligent Computing & Signal Processing, Anhui University, Hefei, Anhui 230601, ChinaKey Laboratory of Intelligent Computing & Signal Processing, Anhui University, Hefei, Anhui 230601, ChinaIn this paper, the Adaptive Modified Characteristic Basis Function Method (AMCBFM) is proposed for quickly simulating electromagnetic scattering from a one-dimensional perfectly electric conductor (PEC) rough surface. Similar to the traditional characteristic basis function method (CBFM), Foldy-Lax multiple scattering equations are applied in order to construct the characteristic basis functions (CBFs). However, the CBFs of the AMCBFM are different from those of the CBFM. In the AMCBFM, the coefficients of the CBFs are first defined. Then, the coefficients and the CBFs are used to structure the total current, which is used to represent the induced current along the rough surface. Moreover, a current criterion is defined to adaptively halt the order of the CBFs. The validity and efficiency of the AMCBFM are assessed by comparing the numerical results of the AMCBFM with the method of moments (MoM). The AMCBFM can effectively reduce the size of the matrix, and it costs less than half the CPU time used by the MoM. Moreover, by comparing it with the traditional CBFM, the AMCBFM can guarantee the accuracy, reduce the number of iterations, and achieve better convergence performance than the CBFM does. The second order of the CBFs is set in the CBFM. Additionally, the first order of the CBFs of the AMCBFM alone is sufficient for this result.http://dx.doi.org/10.1155/2019/7985421
spellingShingle Jing Jing Wang
An Qi Wang
Zhi Xiang Huang
Tie Zhen Jiang
A Fast Algorithm for Electromagnetic Scattering from One-Dimensional Rough Surface
International Journal of Antennas and Propagation
title A Fast Algorithm for Electromagnetic Scattering from One-Dimensional Rough Surface
title_full A Fast Algorithm for Electromagnetic Scattering from One-Dimensional Rough Surface
title_fullStr A Fast Algorithm for Electromagnetic Scattering from One-Dimensional Rough Surface
title_full_unstemmed A Fast Algorithm for Electromagnetic Scattering from One-Dimensional Rough Surface
title_short A Fast Algorithm for Electromagnetic Scattering from One-Dimensional Rough Surface
title_sort fast algorithm for electromagnetic scattering from one dimensional rough surface
url http://dx.doi.org/10.1155/2019/7985421
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