Abstract
The paper focuses on electromagnetic transverse-magnetic wave propagation in a plane waveguide filled with nonlinear nonhomogeneous medium. The waveguide is located between two half-spaces which are characterized by constant dielectric permittivities. The dielectric permittivity of the medium within the waveguide is described by Kerr law; in addition, it is assumed that the linear part of the permittivity depends on the transverse coordinate. The problem under consideration is to find so called propagation constants of the waveguide and describe their properties. In the paper it is shown that Kerr nonlinearity produces guiding modes that do not exist in the linear limit.
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