TM-waves guided by a nonlinear film with complex permittivity

• Autores: Hanna Kiili, Valery Serov
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 271, Nº 1, 2014, págs. 339-355
• Idioma: inglés
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• Resumen

  • The propagation of TM-waves in a planar waveguide with a nonlinear film surrounded by semi-infinite linear media is studied. The film is assumed to be nonmagnetic, anisotropic and it is defined by complex permittivity with a Lipschitz continuous nonlinearity. In the film Maxwell�s equations are reduced to a system of two Volterra integral equations. By the Banach fixed point theorem it is shown that the unique solution exists as a uniform limit of iterations. The dispersion relation is presented and some numerical examples are given.