ABSTRACT
We present an analysis of propagation of coupled electromagnetic TE-TE waves in a nonlinear plane waveguide located between two half-spaces with constant permittivities in which the permittivity of the guiding layer is described by a saturated nonlinearity. The physical problem is reduced to a nonlinear two-parameter eigenvalue problem for a system of nonlinear ordinary differential equations on a segment. Existence and uniqueness of solution to two-parameter eigenvalue problem is proved. Iteration method for solving given problem is presented. Convergence theorem of the iteration method is proved. Numerical results are presented.
Disclosure statement
No potential conflict of interest was reported by the author(s).
ORCID
V. Yu. Martynova http://orcid.org/0000-0002-9098-8600
Yu. G. Smirnov http://orcid.org/0000-0001-9040-628X