EIGENWAVES OF A LOW DIRECTING WAVEGUIDE IN SEMISPACE

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

517.9

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.

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