Mathematical Theory of Normal Waves in Radially Inhomogenous Dielectric Rod
- 作者: Smirnov Y.1, Smolkin E.1
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隶属关系:
- Department of Mathematics and Supercomputing
- 期: 卷 40, 编号 10 (2019)
- 页面: 1711-1724
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205978
- DOI: https://doi.org/10.1134/S1995080219100251
- ID: 205978
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详细
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.
作者简介
Yury Smirnov
Department of Mathematics and Supercomputing
编辑信件的主要联系方式.
Email: smirnovyug@mail.ru
俄罗斯联邦, Penza, 440026
Eugene Smolkin
Department of Mathematics and Supercomputing
编辑信件的主要联系方式.
Email: e.g.smolkin@hotmail.com
俄罗斯联邦, Penza, 440026
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