## On the Theory of TE Waves Guided by a Lossy Three-Layer Structure with General Nonlinear Permittivity

Autor(en): | Harju, Markus Schuermann, Hans W. Serov, Valery S. |

Stichwörter: | Banach Fixed Point Theorem; Dispersion Relation; ELECTROMAGNETIC-WAVES; EQUATION; Integral Equations; Mathematics; Mathematics, Applied; Nonlinear Lossy Permittivity; TE Waves |

Erscheinungsdatum: | 2015 |

Herausgeber: | WALTER DE GRUYTER GMBH |

Journal: | COMPUTATIONAL METHODS IN APPLIED MATHEMATICS |

Volumen: | 15 |

Ausgabe: | 2 |

Startseite: | 161 |

Seitenende: | 171 |

Zusammenfassung: | Guided TE waves in a planar three-layer structure with nonmagnetic material are considered. The central layer between two half-spaces with constant permittivity is described by a rather general (nonlinear, complex, saturating, dependent on position) permittivity. Maxwell's equations are reduced to a nonlinear Volterra integral equation that is solved using the Banach fixed point theorem. Sufficient conditions for convergence of iteration sequence are presented and dispersion relation is derived. Numerical examples are given. |

ISSN: | 16094840 |

DOI: | 10.1515/cmam-2015-0003 |

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