Coupled electromagnetic TE-TE wave propagation in nonlinear layer with saturated nonlinearity. Issue 21 (15th December 2019)

• Record Type: Journal Article
• Authors: Martynova, V. Yu.; Smirnov, Yu. G.
• Is Part Of: Journal of modern optics. Volume 66:Issue 21(2019)
• Page Start: 2099
• Page End: 2113
• Publication Date: 2019-12-15
• Subjects: Nonlinear two-parameter eigenvalue problem -- Maxwell's equations -- nonlinear guided wave -- dispersion equation -- iteration method; Optics -- Periodicals; 535
• DOI: 10.1080/09500340.2019.1695004
• Languages: English
• ISSNs: 0950-0340

Abstract

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.