Solitary Waves in Lossy Linear and Lossless Nonlinear Metamaterials Waveguide Structure

Abstract

Metamaterials have entered into the main stream of electromagnetics due to their unusual and desired qualities, so propagation of electromagnetic waves in metmaterials has been intensively studied over last two decades, specially Solitary waves which has received an increasing attention for researchers in many different fields. Planner waveguides formed by one or several layers has attracted considerable attention, so in this work we consider TE- electromagnetic waves propagating in planner waveguide formed by three-layers, with the waveguide is filled either by linear medium or nonlinear medium with nonlinearity described by the kerr-law Modern mathematical methods for investigating the polarized electromagnetic wave propagation in nonlinear waveguide structure are considered to solve Maxwell equation in linear, nonlinear planner waveguide when the permittivity is constant and when it is a function of field intensity. In each case we derive the dispersion relation.