THE PROBLEM OF ELECTROMAGNETIC WAVE DISTRIBUTION
IN A LAYER WITH ARBITRARY NON-LINEARITY (I. ТЕ – WAVES)

Valovik Dmitry Viktorovich, Candidate of physico-mathematical sciences, associate professor, sub-department of mathematics and supercomputer modeling, Penza State University, dvalovik@mail.ru

517.958; 517.927.4

Electromagnetic propagation problem of TE-waves in a layer with arbitrary nonlinearity is considered. It was shown that the boundary value problem for Max-well equations is reduced to a nonlinear boundary eigenvalue problem for an ordinary nonlinear differential equation of the 2^nd order. Dispersion equation for the eigenvalues of the problem (propagation’s constants) is obtained.

Maxwell equation, diffraction problem, nonlinear boundary eigenvalue problem.