Propagation of TM waves in a layer with arbitrary nonlinearity

被引：0
作者：
D. V. Valovik
机构：
[1] Penza State University,
来源：
Computational Mathematics and Mathematical Physics | 2011年 / 51卷
关键词：
nonlinear boundary eigenvalue problem for Maxwell’s equations; nonlinear layer; dispersion equation; numerical-analytical solution method;
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学科分类号：
摘要：
A boundary value problem for Maxwell’s equations describing propagation of TM waves in a nonlinear dielectric layer with arbitrary nonlinearity is considered. The layer is located between two linear semi-infinite media. The problem is reduced to a nonlinear boundary eigenvalue problem for a system of second-order nonlinear ordinary differential equations. A dispersion equation for the eigenvalues of the problem (propagation constants) is derived. For a given nonlinearity function, the dispersion equation can be studied both analytically and numerically. A sufficient condition for the existence of at least one eigenvalue is formulated.
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页码：1622 / 1632
页数：10
相关论文
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