The Method of Moments for 3-D Anisotropic Media with Diagonal Tensor Permittivity or Diagonal Tensor Permeability

Hai Xuan Zhang; Gao Wei; Jian Zhou Li

doi:10.1109/LAWP.2026.3691826

The Method of Moments for 3-D Anisotropic Media with Diagonal Tensor Permittivity or Diagonal Tensor Permeability

Hai Xuan Zhang
, Gao Wei
, Jian Zhou Li

电子信息学院

Northwestern Polytechnical University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

We explored a method of moments (MoM) that utilizes surface integral equations (SIE) to analyze anisotropic materials with intricate three-dimensional (3-D) structures, which exhibit diagonal tensor permittivity or permeability. First, the generalized Lorenz gauge (GLG) is used to solve the tensor Helmholtz equation of auxiliary potentials. Subsequently, the scattering fields in anisotropic media are solved using the auxiliary potentials that have been obtained. At last, we offer streamlined formulas for the matrix elements derived from discretizing and testing the scattering fields, resulting in a unique SIE-MoM. Examples of numerical simulations confirm the effectiveness and accuracy of this method.

源语言	英语
页（从-至）	3095-3099
页数	5
期刊	IEEE Antennas and Wireless Propagation Letters
卷	25
期	8
DOI	https://doi.org/10.1109/LAWP.2026.3691826
出版状态	已出版 - 1 8月 2026

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10.1109/LAWP.2026.3691826

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abstract = "We explored a method of moments (MoM) that utilizes surface integral equations (SIE) to analyze anisotropic materials with intricate three-dimensional (3-D) structures, which exhibit diagonal tensor permittivity or permeability. First, the generalized Lorenz gauge (GLG) is used to solve the tensor Helmholtz equation of auxiliary potentials. Subsequently, the scattering fields in anisotropic media are solved using the auxiliary potentials that have been obtained. At last, we offer streamlined formulas for the matrix elements derived from discretizing and testing the scattering fields, resulting in a unique SIE-MoM. Examples of numerical simulations confirm the effectiveness and accuracy of this method.",

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AU - Zhang, Hai Xuan

AU - Wei, Gao

AU - Li, Jian Zhou

PY - 2026/8/1

Y1 - 2026/8/1

N2 - We explored a method of moments (MoM) that utilizes surface integral equations (SIE) to analyze anisotropic materials with intricate three-dimensional (3-D) structures, which exhibit diagonal tensor permittivity or permeability. First, the generalized Lorenz gauge (GLG) is used to solve the tensor Helmholtz equation of auxiliary potentials. Subsequently, the scattering fields in anisotropic media are solved using the auxiliary potentials that have been obtained. At last, we offer streamlined formulas for the matrix elements derived from discretizing and testing the scattering fields, resulting in a unique SIE-MoM. Examples of numerical simulations confirm the effectiveness and accuracy of this method.

AB - We explored a method of moments (MoM) that utilizes surface integral equations (SIE) to analyze anisotropic materials with intricate three-dimensional (3-D) structures, which exhibit diagonal tensor permittivity or permeability. First, the generalized Lorenz gauge (GLG) is used to solve the tensor Helmholtz equation of auxiliary potentials. Subsequently, the scattering fields in anisotropic media are solved using the auxiliary potentials that have been obtained. At last, we offer streamlined formulas for the matrix elements derived from discretizing and testing the scattering fields, resulting in a unique SIE-MoM. Examples of numerical simulations confirm the effectiveness and accuracy of this method.

KW - Anisotropic media

KW - electromagnetic scattering

KW - method of moments (MoM)

KW - surface integral equations (SIE)

UR - https://www.scopus.com/pages/publications/105038869373

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SN - 1536-1225

VL - 25

SP - 3095

EP - 3099

JO - IEEE Antennas and Wireless Propagation Letters

JF - IEEE Antennas and Wireless Propagation Letters

IS - 8

ER -

The Method of Moments for 3-D Anisotropic Media with Diagonal Tensor Permittivity or Diagonal Tensor Permeability

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