Mathematical Theory of Normal Waves in Radially Inhomogenous Dielectric Rod
- Autores: Smirnov Y.1, Smolkin E.1
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Afiliações:
- Department of Mathematics and Supercomputing
- Edição: Volume 40, Nº 10 (2019)
- Páginas: 1711-1724
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205978
- DOI: https://doi.org/10.1134/S1995080219100251
- ID: 205978
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Resumo
The problem on normal waves in a radially inhomogeneous dielectric rod is considered. This problem is reduced to the boundary eigenvalue problem for longitudinal components of electromagnetic field in Sobolev spaces. To find the solution, we use the variational formulation of the problem. The variational problem is reduced to study of an operator-function. Discreteness of the spectrum is proved and distribution of the characteristic numbers of the operator-function on the complex plane is found.
Sobre autores
Yury Smirnov
Department of Mathematics and Supercomputing
Autor responsável pela correspondência
Email: smirnovyug@mail.ru
Rússia, Penza, 440026
Eugene Smolkin
Department of Mathematics and Supercomputing
Autor responsável pela correspondência
Email: e.g.smolkin@hotmail.com
Rússia, Penza, 440026
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