Solution of the volume integral equation using the revised pulse vector basis functions for electromagnetic scattering from thin homogeneous dielectric objects

For the efficient analysis of electromagnetic scattering from thin, homogenous dielectric objects, a kind of revised pulse vector basis function is proposed for the solution of the volume integral equation. In this revised version of the definition, three pulse vector basis functions are defined in two neighboring tetrahedral elements sharing a common face. Therefore, the number of unknowns can be reduced to about half of the traditionally used one. Numerical results show that for the solution of thin homogenous dielectric object problems, the memory of the proposed solution scheme is less than one-third of the conventional one, while both methods give similar accurate results. In addition, the proposed scheme can be applied for the solution of electromagnetic scattering from the dielectric radome and from thin dielectric arrays with different media parameters for each array element. Furthermore, the proposed scheme iterates as fast as the original one when iterative solvers are used to solve the resulted matrix equations. Therefore, for the solution of thin and homogenous dielectric object problems, the proposed scheme is much more efficient than the original one.

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Publication Details

Journal
Journal of the Optical Society of America A
Published
2025-02-21
DOI
https://doi.org/10.1364/josaa.551781
Citations
1
Primary Topic
Electromagnetic Scattering and Analysis
Type
article
Field-Weighted Citation Impact
1.25
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article

Solution of the volume integral equation using the revised pulse vector basis functions for electromagnetic scattering from thin homogeneous dielectric objects

Bingzhong Ren, Liming Zhang, Ali Deng
1 citations
Journal of the Optical Society of America A
Electromagnetic Scattering and Analysis
1.25
article

Solution of the volume integral equation using the revised pulse vector basis functions for electromagnetic scattering from thin homogeneous dielectric objects

Bingzhong Ren, Liming Zhang, Ali Deng
article en
1 citations

Abstract

For the efficient analysis of electromagnetic scattering from thin, homogenous dielectric objects, a kind of revised pulse vector basis function is proposed for the solution of the volume integral equation. In this revised version of the definition, three pulse vector basis functions are defined in two neighboring tetrahedral elements sharing a common face. Therefore, the number of unknowns can be reduced to about half of the traditionally used one. Numerical results show that for the solution of thin homogenous dielectric object problems, the memory of the proposed solution scheme is less than one-third of the conventional one, while both methods give similar accurate results. In addition, the proposed scheme can be applied for the solution of electromagnetic scattering from the dielectric radome and from thin dielectric arrays with different media parameters for each array element. Furthermore, the proposed scheme iterates as fast as the original one when iterative solvers are used to solve the resulted matrix equations. Therefore, for the solution of thin and homogenous dielectric object problems, the proposed scheme is much more efficient than the original one.

Journal of the Optical Society of America AVol. 42(4)
Shandong University of Science and Technology (CN)
Affordable and clean energy
Openalex Percentile: Top 24%
Electromagnetic Scattering and Analysis
1.25
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