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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 Y.G.1, Smol'kin E.Y.1,2
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Affiliations:
- Penza State University, Penza, 440026, Russia
- University of Gävle, Gävle, 801 76, Sweden
- Issue: Vol 59, No 9 (2023)
- Pages: 1199-1204
- Section: Articles
- URL: https://rjmseer.com/0374-0641/article/view/649475
- DOI: https://doi.org/10.31857/S0374064123090054
- EDN: https://elibrary.ru/WORJJJ
- ID: 649475
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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.
About the authors
Yu. G. Smirnov
Penza State University, Penza, 440026, Russia
Email: smirnovyug@mail.ru
Пенза, Россия
E. Yu. Smol'kin
Penza State University, Penza, 440026, Russia; University of Gävle, Gävle, 801 76, Sweden
Author for correspondence.
Email: e.g.smolkin@hotmail.com
Пенза, Россия; Евле, Швеция
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