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Exact solution of the contact boundary value problem for a waveguide structure made of nonlinear and inhomogeneous optical media
Savotchenko S. E.1,2,3
1 Sergo Ordzhonikidze Russian State University for Geological Prospecting, Moscow, Russia
2Moscow Technical University of Communications and Informatics (MTUCI), Moscow, Russia
3MIREA - Russian Technological University, Moscow, Russia
Email: savotchenkose@mail.ru

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A model of a waveguide structure made of a gradient medium with a refraction index decreasing in accordance with a generalized hyperbolic profile, which is in contact with a nonlinear medium with its permittivity varying abruptly as a function of intensity of the electric field, is proposed. The corresponding conjugation boundary value problem is formulated, and its exact solution characterizing a nonlinear surface wave is obtained. It is demonstrated that the wave characteristics may be controlled by varying the optical characteristics of the medium. Keywords: inhomogeneous optical media, nonlinear media, surface waves, nonlinear waves, optical waveguides. DOI: 10.21883/0000000000
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