Normal Waves in an Open Anisotropic Regular Waveguide of Arbitrary Cross Section.

Autor: Smolkin, E., Moskaleva, M. A.
Zdroj: Lobachevskii Journal of Mathematics; Jun2021, Vol. 42 Issue 6, p1453-1464, 12p
Abstrakt: The problem on normal waves in an open regular waveguide of arbitrary cross-section is considered. The permittivity and permeability of the waveguide are described by tensors. The determination of normal waves is reduced to a boundary eigenvalue problem for longitudinal components of the electromagnetic field in Sobolev spaces. A variational formulation corresponding to this problem is obtained. The variational relation leads to an eigenvalue problem for the operator-function. Properties of the operator-function are investigated. Discreteness of the spectrum is proved. Numerical results are presented. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index