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

TL;DR

This paper establishes a condition for the existence of pure TE and TM modes in metallic waveguides filled with fully anisotropic, lossless media, extending classic waveguide theory and confirming results through numerical simulation.

Contribution

It introduces a new condition relating permittivity and permeability tensors for anisotropic media, extending electromagnetic waveguide theory.

Findings

The condition confirms the existence of pure TE and TM modes in anisotropic waveguides.

Numerical simulations validate the theoretical condition.

The theory extends classic waveguide analysis to fully anisotropic media.

Abstract

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 condition is a relation between the permittivity and permeability tensors of the fully anisotropic medium. The theory given in the letter is the extension of the classic electromagnetic waveguide theory. At last, we employ the commercial software COMSOL Multiphysics to simulate the metallic waveguide problem filled with a homogeneous, fully anisotropic and lossless medium. Numerical experiment shows that the condition supported in the letter does confirm the existence of the pure TE and TM modes in the anisotropic waveguide.