ON SOLUBILITY OF NON-LINEAR BOUNDARY PROBLEM ON EIGENVALUES
FOR DISTRIBUTING TM-WAVES IN A ROUND NON-LINEAR WAVEGUIDE

Chorosheva Elvira Alexandrovna, Assistant, sub-department of mathematics and supercomputer modeling, Penza State University, mmm@pnzgu.ru
Smirnov Yury Gennadyevich, Doctor of physical and mathematical sciences, professor, head of sub-department of mathematics and supercomputer modeling, Penza State University, mmm@pnzgu.ru

517.9

Problem of propagation of TM-polarized electromagnetic waves in nonlinear dielectric waveguide with circular cross-section is considered. Waveguide filled nonlinear media with Kerr law. The problem is reduced to the nonlinear eigenvalue problem for integral operator-function. Contraction type principle is used for solving the problem. Numerical results are presented.

nonlinear media, propagation of electromagnetic waves in waveguides, eigenvalue problems, integral equations, numerical methods.