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The new type of non-polarized symmetric electromagnetic waves in planar nonlinear waveguide
Authors:Yury Smirnov  Valery Kurseeva
Affiliation:Department of Mathematics and Supercomputing, Penza State University , Penza, Russia.
Abstract:Paper focuses on the propagation of monochromatic nonlinear symmetric hybrid waves in a planar dielectric waveguide filled with nonlinear medium. The wave propagation problem is reduced to a transmission eigenvalue problem. Eigenvalues of the problem depend on an additional parameter and correspond to propagation constant. Using perturbation method, it is theoretically proved the existence of a finite number of isolated eigenvalues and therefore, guide waves. The found guide regime is novel in the theory of nonlinear waveguides. Numerical results are presented.
Keywords:Non-polarized symmetric electromagnetic waves  Kerr nonlinearity  planar nonlinear waveguide  Maxwell’s equations  two-parameter eigenvalue problem
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