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

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.