A NUMERICAL METHOD OF A BOUNDARY PROBLEM SOLUTION WITH EIGENVALUES
FOR ELECTROMAGNETIC TE-WAVES DISTRIBUTED IN A LAYER WITH THE ARBITRARY NON-LINEARITY

Zarembo Ekaterina Viktorovna, Postgraduate student, Penza State University, y_tak@yandex.ru

517.927, 519.62, 517.958

The article considers a problem of electromagnetic TE-waves propagation in a layer with arbitrary nonlinearity. The physical problem is reduced to the nonlinear boundary eigenvalue problem for nonlinear ordinary differential equations. The author suggests a numerical method to find propagation constants and demonstrates numerical results for Kerr nonlinearity and nonlinearity with saturation.

nonlinear boundary eigenvalue problem, ordinary differential equation, Cauchy problem.