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- Title
On the Existence of an Infinite Spectrum of Damped Leaky TE-Polarized Waves in an Open Inhomogeneous Cylindrical Metal–Dielectric Waveguide Coated with a Graphene Layer.
- Authors
Smirnov, Yu. G.; Smolkin, E. Yu.
- Abstract
We consider the problem of leaky waves in an inhomogeneous waveguide structure covered with a layer of graphene, which is reduced to a boundary value problem for the longitudinal components of the electromagnetic field in Sobolev spaces. A variational statement of the problem is used to determine the solution. The variational problem is reduced to the study of an operator function. The properties of the operator function necessary for the analysis of its spectral properties are investigated. Theorems on the discreteness of the spectrum and on the distribution of the characteristic numbers of the operator function on the complex plane are proved.
- Subjects
OPERATOR functions; GRAPHENE; BOUNDARY value problems; SOBOLEV spaces; WAVEGUIDES; DIELECTRIC waveguides; ELECTROMAGNETIC fields
- Publication
Differential Equations, 2023, Vol 59, Issue 9, p1193
- ISSN
0012-2661
- Publication type
Article
- DOI
10.1134/S0012266123090057