activity
20162026
most citedA Necessary and Sufficient Condition for Having Independent TE and TM Modes in an Anisotropic Waveguide

13 citations · 23 across the 10 of their papers we have counts for

collaborators

10 papers

physics.comp-ph2026

A 3-D Hybrid Numerical Method for Simulating Electromagnetic Fields in Structures with Multiple Inhomogeneous Layered Media

Jie Liu, Taihe Li, Ke Chen +2

A three-dimensional (3-D) hybrid numerical method (HNM) is presented for electromagnetic scattering in structures with multiple inhomogeneous layered media coupled to an arbitrary…

physics.class-ph2022

TE and TM Modes in Metallic Waveguide Filled With a Lossless and Fully Anisotropic Medium

Wei Jiang, Jie Liu

This letter gives a condition for the existence of the pure TE and TM modes in the metallic waveguide filled with a homogeneous, fully anisotropic and lossless medium. The conditio…

math.NA2022

A practical algorithm to minimize the overall error in FEM computations

Jie Liu, Henk M. Schuttelaars, Matthias Möller

Using the standard finite element method (FEM) to solve general partial differential equations, the round-off error is found to be proportional to , with the num…

math.NA2021

Numerical Eigensolver for Solving Eigenmodes of Cavity Resonators Filled With both Electric and Magnetic Lossy, Anisotropic Media

Wei Jiang, Jie Liu, Shiling Zheng

This article presents the numerical eigensolver to find the resonant frequencies of 3-D closed cavity resonators filled with both electric and magnetic lossy, anisotropic media. By…

physics.comp-ph2021

Spectral Element Method for the Elastic/Acoustic Waveguide Problem in Anisotropic Metamaterials

An Qi Ge, Ming Wei Zhuang, Jie Liu +1

In order to simulate elastic wave propagation in a complex structure with inhomogeneous media, we often need to obtain the propagating eigenmodes of an elastic waveguide. As the wa…

math.NA2020★ 7 cited

Three Numerical Eigensolvers for 3-D Cavity Resonators Filled With Anisotropic and Nonconductive Media

Wei Jiang, Jie Liu

This paper mainly investigates the classic resonant cavity problem with anisotropic and nonconductive media, which is a linear vector Maxwell's eigenvalue problem. The finite eleme…

physics.optics2019★ 2 cited

Spectral Numerical Mode Matching Method for 3D Layered Multi-Region Structures

Jie Liu, Na Liu, Qing Huo Liu

The spectral numerical mode-matching (SNMM) method is developed to simulate the 3D layered multi-region structures. The SNMM method is a semi-analytical solver having the propertie…

physics.comp-ph2018★ 1 cited

Mixed Spectral Element Method for the Waveguide Problem with Bloch Periodic Boundary

Jie Liu, Wei Jiang, Na Liu +1

The mixed spectral element method (MSEM) is applied to solve the waveguide problem with Bloch periodic boundary condition (BPBC). Based on the BPBC for the original Helmholtz equat…

physics.class-ph2016★ 13 cited

A Necessary and Sufficient Condition for Having Independent TE and TM Modes in an Anisotropic Waveguide

Wei Jiang, Jie Liu, Qin Li +4

Whether there exist independent transverse electric (TE) and transverse magnetic (TM) modes in a metallic waveguide filled with an anisotropic medium is a fundamental question in e…

math.NA2016

A Sufficient Condition of Having Independent TE and TM Modes in a Waveguide Filled with Homogenous Anisotropic Lossless Medium

Wei Jiang, Jie Liu, Qing Huo Liu

Based on the idea of the Abelian group theory in mathematics,this paper finds a sufficient condition of having independent TE and TM modes in a waveguide filled with homogenous ani…