Nonlinear Effects of Electromagnetic TM Wave Propagation in Anisotropic Layer with Kerr Nonlinearity | Zendy

Yu. G. Smirnov | Zendy; Д. В. Валовик | Zendy

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Nonlinear Effects of Electromagnetic TM Wave Propagation in Anisotropic Layer with Kerr Nonlinearity

Author(s) -

Yu. G. Smirnov,

Д. В. Валовик

Publication year - 2012

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2012/609765

Subject(s) - eigenvalues and eigenvectors , nonlinear system , mathematical analysis , wave propagation , propagation constant , physics , electromagnetic radiation , boundary value problem , metamaterial , constant (computer programming) , dispersion (optics) , mathematics , optics , quantum mechanics , computer science , programming language

The problem of electromagnetic TM wave propagation through a layer with Kerr nonlinearity is considered. The layer is located between two half-spaces with constant permittivities. This electromagnetic problem is reduced to the nonlinear boundary eigenvalue problem for ordinary differential equations. It is necessary to find eigenvalues of the problem (propagation constants of an electromagnetic wave). The dispersion equation (DE) for the eigenvalues is derived. The DE is applied to nonlinear metamaterial as well. Comparison with a linear case is also made. In the nonlinear problem there are new eigenvalues and new eigenwaves. Numerical results are presented

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