TM-waves guided by a nonlinear film with complex permittivity

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• 作者：Hanna Kiili ; ^{hanna.kiili@oulu.fi" class="auth_mail} ; Valery Serov
• 关键词：81V80 ; 78A45 ; 34L30 ; 45G10 ; 65R20
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：1 December 2014
• 年：2014
• 卷：271
• 期：Complete
• 页码：339-355
• 全文大小：8831 K

文摘

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.