Surface Integral Equation Solutions for Electromagnetic Scattering from a Special Class of Anisotropic Media

Hui Wen Zhang; Xiao Wei Huang; Xin Qing Sheng

doi:10.1109/TAP.2022.3170966

Surface Integral Equation Solutions for Electromagnetic Scattering from a Special Class of Anisotropic Media

Hui Wen Zhang, Xiao Wei Huang^*, Xin Qing Sheng

^*Corresponding author for this work

School of Integrated Circuits and Electronics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We present a surface integral equation (SIE) solution for a special class of anisotropic media, whose permittivity and permeability are both symmetric full tensors with the same or multiple values. This kind of media is generated from the invisible cloaking or absorbing material of a perfectly matched layer (PML) design. A new derivation based on the potential functions is presented to obtain the closed-form Green's function. Detailed and rigorous proofs of some vector identities are given for the first time. Special treatments are detailed to address the singularity of the anisotropic Green's function for discretizing the SIE. Numerical experiments validate the accuracy, stability, and high efficiency of the proposed solution compared with the analytical solution or the finite element-boundary integral (FE-BI) method.

Original language	English
Pages (from-to)	8204-8215
Number of pages	12
Journal	IEEE Transactions on Antennas and Propagation
Volume	70
Issue number	9
DOIs	https://doi.org/10.1109/TAP.2022.3170966
Publication status	Published - 1 Sept 2022

Keywords

Anisotropic media
GreenâÂÄa s function
dyadic identity
electromagnetic scattering
surface integral equation (SIE)

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10.1109/TAP.2022.3170966

Cite this

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title = "Surface Integral Equation Solutions for Electromagnetic Scattering from a Special Class of Anisotropic Media",

abstract = "We present a surface integral equation (SIE) solution for a special class of anisotropic media, whose permittivity and permeability are both symmetric full tensors with the same or multiple values. This kind of media is generated from the invisible cloaking or absorbing material of a perfectly matched layer (PML) design. A new derivation based on the potential functions is presented to obtain the closed-form Green's function. Detailed and rigorous proofs of some vector identities are given for the first time. Special treatments are detailed to address the singularity of the anisotropic Green's function for discretizing the SIE. Numerical experiments validate the accuracy, stability, and high efficiency of the proposed solution compared with the analytical solution or the finite element-boundary integral (FE-BI) method.",

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AU - Huang, Xiao Wei

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N2 - We present a surface integral equation (SIE) solution for a special class of anisotropic media, whose permittivity and permeability are both symmetric full tensors with the same or multiple values. This kind of media is generated from the invisible cloaking or absorbing material of a perfectly matched layer (PML) design. A new derivation based on the potential functions is presented to obtain the closed-form Green's function. Detailed and rigorous proofs of some vector identities are given for the first time. Special treatments are detailed to address the singularity of the anisotropic Green's function for discretizing the SIE. Numerical experiments validate the accuracy, stability, and high efficiency of the proposed solution compared with the analytical solution or the finite element-boundary integral (FE-BI) method.

AB - We present a surface integral equation (SIE) solution for a special class of anisotropic media, whose permittivity and permeability are both symmetric full tensors with the same or multiple values. This kind of media is generated from the invisible cloaking or absorbing material of a perfectly matched layer (PML) design. A new derivation based on the potential functions is presented to obtain the closed-form Green's function. Detailed and rigorous proofs of some vector identities are given for the first time. Special treatments are detailed to address the singularity of the anisotropic Green's function for discretizing the SIE. Numerical experiments validate the accuracy, stability, and high efficiency of the proposed solution compared with the analytical solution or the finite element-boundary integral (FE-BI) method.

KW - Anisotropic media

KW - GreenâÂÄa s function

KW - dyadic identity

KW - electromagnetic scattering

KW - surface integral equation (SIE)

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Surface Integral Equation Solutions for Electromagnetic Scattering from a Special Class of Anisotropic Media

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Keywords

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