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Abstract
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.
Keywords: Integral Equations; TE Waves; Nonlinear Lossy Permittivity; Dispersion Relation; Banach Fixed Point Theorem
Funding source: Academy of Finland
Award Identifier / Grant number: Finnish Programme for Centres of Excellence in Research 2012–2017, application number 250215
Received: 2014-9-18
Revised: 2015-1-30
Accepted: 2015-2-2
Published Online: 2015-2-14
Published in Print: 2015-4-1
© 2015 by De Gruyter
