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Guided modes in a uniaxial multilayer Ivan Avrutsky

Summary: Guided modes in a uniaxial multilayer
Ivan Avrutsky
Department of Electrical and Computer Engineering, Wayne State University, Detroit, Michigan 48202
Received May 14, 2002; revised manuscript received October 15, 2002; accepted October 25, 2002
An algorithm is presented for simulation of guided modes in a multilayer uniaxial structure with each layer
characterized by its own ellipsoid of refractive indices and direction of optical axis. The proposed approach is
based on presenting an electromagnetic field in each layer as a linear combination of ordinary and extraordi-
nary waves coupled through the boundary conditions. The problem is reduced to two dimensions by consid-
ering the waves with a given projection of the wave vector on the plane of the waveguide. No a priori as-
sumption about the guided-mode polarization is required in this method. Hybrid polarized modes appear
naturally as solutions of a system of linear equations with respect to the amplitudes of the ordinary and ex-
traordinary waves. The proposed approach covers a wide variety of important practical cases including iso-
tropic waveguides, surface waves at the boundary between positive uniaxial crystal and isotropic medium, sur-
face plasmons at metallic interfaces, uniaxial multilayers in a very general form, and leaky modes in such
structures. 2003 Optical Society of America
OCIS codes: 130.2790, 160.1190, 160.3130, 230.4170, 230.7390, 240.6690.
Many electro-optical and nonlinear optical materials are
uniaxial crystals. The most well-known example is
lithium niobate (LiNbO3). A rather popular choice in re-


Source: Avrutsky, Ivan - Department of Electrical and Computer Engineering, Wayne State University


Collections: Engineering