NUMERICAL PROBLEM SOLUTION OF ELECTROMAGNETIC TM-WAVE DISTRIBUTION IN ROUND DIELECTRIC WAVEGUIDES FILLED WITH NON-LINEAR MEDIUM

Medvedik Mikhail Yuryevich, Candidate of physico-mathematical sciences, associate professor, sub-department of mathematics and supercomputer modeling, Penza State University, _medv@mail.ru
Smirnov Yury Gennadyevich, Doctor of physico-mathematical sciences, professor, head of sub-department of mathematics and supercomputer modeling, Penza State University , smirnovyug@mail.ru
Chorosheva Elvira Alexandrovna, Postgraduate student, 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.