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On the problem of nonlinear coupled electromagnetic transverse-electric-transverse magnetic wave propagation. (English) Zbl 1282.78019

Summary: Coupled electromagnetic TE and TM wave propagation in a nonlinear plane layer is considered. Nonlinearity inside the layer is described by Kerr law. Physical problem is reduced to a nonlinear two-parameter eigenvalue problem for a system of (nonlinear) ordinary differential equations. It is proved that TE and TM waves that form (nonlinear) coupled TE-TM wave can propagate at different frequencies \(\omega_E\) and \(\omega_M\), respectively. These frequencies can be chosen independently. Existence of coupled surface TE and TM waves is proved. Intervals of localization of coupled eigenvalues are found.{
©2013 American Institute of Physics}

MSC:

78A40 Waves and radiation in optics and electromagnetic theory
78A60 Lasers, masers, optical bistability, nonlinear optics
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