Propagation of TM waves in a layer with arbitrary nonlinearity |
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Authors: | D V Valovik |
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Institution: | 1.Penza State University,Penza,Russia |
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Abstract: | 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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Keywords: | |
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