Spatial Distribution of the Amplitudes of Electromagnetic Waves Propagating in a Bounded Multilayer Structure with Periodic Irregularity

Abstract

The step-by-step method is used for the analysis of propagation of electromagnetic waves in a multilayer structure of a finite length with periodic irregularities of the permittivity, permeability, and conductivity. The distribution of the wave amplitudes in the structure layers is considered and two its main types, sinusoidal and exponential, are revealed. Passbands and stopbands in frequency dependences of reflection and transmission coefficients are found. Parameters of these passbands and stopbands are determined by the combination of the periodicity of irregularities and the finiteness of the structure length. In the case of the tensor permeability, an additional stopband caused by gyrotropic properties of the magnetic medium is found. For the case of a conducting medium, the excess of the normalized amplitude of propagating waves over the unit level is considered and possible factors that cause its appearance are discussed.