On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity

The paper focuses on a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity that describes the propagation of transverse magnetic waves along the boundaries of a dielectric layer filled with nonlinear (Kerr) medium. Using an original approach, it is proved that even for sm...

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Veröffentlicht in:	Journal of mathematical physics 2016-10, Vol.57 (10), p.103504
Hauptverfasser:	Smirnov, Yu. G., Valovik, D. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic methods Dielectrics Eigenvalues Eigenvectors Mathematical analysis Mathematical problems Maxwell's equations Nonlinearity Partial differential equations Periodic variations Physics Propagation Wave propagation
Online-Zugang:	Volltext
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