DISTRIBUTION OF TM-POLARIZED ELECTROMAGNETIC WAVES
IN A DIELECTRIC LAYER OF A NON-LINEAR META MATERIAL

Valovik Dmitry Viktorovich, 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

517.958; 517.927.4

The electromagnetic problem of propagation of TM-waves in a dielectric layer filled nonlinear metamaterial is considered. The layer is between two isotropic, nonmagnetic half-spaces with constant electrodynamical parameters. Dispersion equation for eigenvalues (propagation’s constants) of the problem is obtained.

nonlinear boundary eigenvalue problem for Maxwell equations, dispersion equation, nonlinear slab (film), nonlinear metamaterial.