NUMERICAL METHOD IN THE PROBLEM OF ELECTROMAGNETIC TE-WAVE DISTRIBUTION
IN A TWO-LAYER NON-LINEAR WAVEGUIDING STRUCTURE

Valovik Dmitry Victorovich, Candidate of physical and mathematical sciences, associate professor, sub-department of mathematics and supercomputer modeling, Penza State University, dvalovik@mail.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
Shirokova Ekaterina Alekseevna, Postgraduate student, Penza State University, ekaterina_shirokova88@mail.ru

517.927, 519.62, 517.958

The article considers electromagnetic wave propagation in a two nonlinear layers’ plane waveguide. The problem is reduced to a boundary conjugation problem in a quadruply-connected domain. A numerical method for solving the problem is proposed. Some numerical results are shown.

conjugation problem in a multiply-connected domain, nonlinear ordinary differential equation, Cauchy problem.