Article 2112

Title of the article

EIGENWAVES OF A LOW DIRECTING WAVEGUIDE IN SEMISPACE

Authors

Karchevsky Evgeny Mikhaylovich, Doctor of physical and mathematical sciences, professor, sub-department of applied mathematics, Kazan (Volga region) Federal University, Alexander_ksu@mail.ru
Frolov Alexander Gennadyevich, Postgraduate student, Kazan (Volga region) Federal University, Alexander_ksu@mail.ru

Index UDK

517.9

Abstract

The problem for eigenwaves of weakly guiding dielectric waveguide in the half-space is reduced to nonlinear eigenvalue problem for holomorphic Fredholm operator-valued function. The problem for surface waves is reduced to the linear eigenvalue problem for integral operator with symmetric, positive, weakly polar kernel. The existence, localization, and dependence on parameters of the spectrum are investigated.

Key words

propagation of electromagnetic waves in waveguides, eigenvalue prob-lem, integral equations.

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Дата создания: 17.07.2014 07:05
Дата обновления: 17.07.2014 09:13