Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)1516310.22363/2312-9735-2017-25-1-56-68Research ArticleSimulation of Polarized Light Propagation in the Thin-Film Waveguide LensDivakovD VDepartment of Applied Probability and Informaticsdmitriy.divakov@gmail.comMalykhM DDepartment of Applied Probability and Informaticsmalykhmd@yandex.ruSevastianovA LDepartment of Applied Probability and Informaticsalsevastyanov@gmail.comSevastianovL ADepartment of Applied Probability and Informaticssevast@sci.pfu.edu.ruRUDN University (Peoples’ Friendship University of Russia)15122017251566808022017Copyright © 2017,2017The paper deals with the problem of electromagnetic TE-polarized monochromatic light diffraction on three-dimensional thickening of the waveguide layer of regular three-layered open planar dielectric waveguide, which forms thin-film waveguide lens. The authors propose an approximate mathematical model in which open waveguide is placed inside the auxiliary closed waveguide, that leads to well-posed diffraction problem. It is shown, that properties of guided modes of the open waveguide are stable with respect to shifts of the closed waveguide boundaries. So, the proposed approach describes the propagation of polarized light in the open smoothly irregular waveguide adequately. The three-dimensional thickening of the waveguide layer forces us to deal with electromagnetic field in vector form due to depolarization effect. The diffraction problem, presented in the work, is solved in adiabatic approximation by the small parameter of irregularity of the waveguide layer. The numerical experiments show that decreasing of the small parameter tends the reflection coefficient matrix to zero-matrix, tends the transmittance coefficient matrix to identity matrix, and besides the non-diagonal matrix elements, corresponding to modes interaction, tend to zero by an order faster than diagonal matrix elements, which shows that depolarization effects in the given configuration can be neglected.waveguide propagation of lightmathematical modelintegrated-optical waveguidemodified incomplete Galerkin methodasymptotic methodволноводное распространение светаматематическая модельинтегрально-оптический волноводмодифицированный неполный метод Галёркинаасимптотический метод