Abstract

The paper focuses on the problem of normal surface waves in an open metal-dielectric inhomogeneous waveguide of arbitrary cross-section with losses. The medium filling the waveguide is characterized by a isotropic inhomogeneous complex permittivity. The setting is reduced to a boundary eigenvalue problem for longitudinal components of the electromagnetic field in Sobolev spaces. Variational formulation of the problem is considered in terms of the analysis of operator-functions. A discreteness of the set of the sought-for eigenvalues is proved.

中文翻译：

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任意截面有损非均匀介质波导中表面波的数学理论

摘要

本文重点研究具有损耗的任意截面的开放式金属-电介质非均匀波导中的法向表面波问题。填充波导的介质具有各向同性非均匀复介电常数的特征。该设置被简化为 Sobolev 空间中电磁场纵向分量的边界特征值问题。根据算子函数的分析考虑问题的变分公式。证明了所寻求的特征值集的离散性。