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

Hai Xuan Zhang
, Gao Wei
, Jian Zhou Li

School of Electronics and Information

Northwestern Polytechnical University Xian

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

Abstract

We explored a method of moments (MoM) that utilizes surface integral equations (SIE) to analyze anisotropic materials with intricate three-dimensional (3D) structures, which exhibit diagonal tensor permittivity or diagonal tensor permeability. Firstly, 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 comprehensive and streamlined formulas for the matrix elements derived from discretizing and testing the scattering fields, resulting in a unique MoM of SIE. Examples of numerical simulations confirm the effectiveness, universality, accuracy, and efficiency of this method.

Original language	English
Journal	IEEE Antennas and Wireless Propagation Letters
DOIs	https://doi.org/10.1109/LAWP.2026.3691826
State	Accepted/In press - 2026

Keywords

Anisotropic media
electromagnetic scattering
method of moments (MoM)
surface integral equations (SIE)

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10.1109/LAWP.2026.3691826

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title = "The Method of Moments for 3D Anisotropic Media with Diagonal Tensor Permittivity or Diagonal Tensor Permeability",

abstract = "We explored a method of moments (MoM) that utilizes surface integral equations (SIE) to analyze anisotropic materials with intricate three-dimensional (3D) structures, which exhibit diagonal tensor permittivity or diagonal tensor permeability. Firstly, 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 comprehensive and streamlined formulas for the matrix elements derived from discretizing and testing the scattering fields, resulting in a unique MoM of SIE. Examples of numerical simulations confirm the effectiveness, universality, accuracy, and efficiency of this method.",

keywords = "Anisotropic media, electromagnetic scattering, method of moments (MoM), surface integral equations (SIE)",

author = "Zhang, \{Hai Xuan\} and Gao Wei and Li, \{Jian Zhou\}",

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year = "2026",

doi = "10.1109/LAWP.2026.3691826",

language = "英语",

journal = "IEEE Antennas and Wireless Propagation Letters",

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T1 - The Method of Moments for 3D Anisotropic Media with Diagonal Tensor Permittivity or Diagonal Tensor Permeability

AU - Zhang, Hai Xuan

AU - Wei, Gao

AU - Li, Jian Zhou

PY - 2026

Y1 - 2026

N2 - We explored a method of moments (MoM) that utilizes surface integral equations (SIE) to analyze anisotropic materials with intricate three-dimensional (3D) structures, which exhibit diagonal tensor permittivity or diagonal tensor permeability. Firstly, 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 comprehensive and streamlined formulas for the matrix elements derived from discretizing and testing the scattering fields, resulting in a unique MoM of SIE. Examples of numerical simulations confirm the effectiveness, universality, accuracy, and efficiency 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 (3D) structures, which exhibit diagonal tensor permittivity or diagonal tensor permeability. Firstly, 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 comprehensive and streamlined formulas for the matrix elements derived from discretizing and testing the scattering fields, resulting in a unique MoM of SIE. Examples of numerical simulations confirm the effectiveness, universality, accuracy, and efficiency 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

U2 - 10.1109/LAWP.2026.3691826

DO - 10.1109/LAWP.2026.3691826

M3 - 文章

AN - SCOPUS:105038869373

SN - 1536-1225

JO - IEEE Antennas and Wireless Propagation Letters

JF - IEEE Antennas and Wireless Propagation Letters

ER -

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

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Keywords

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