Abstract

The conventional approach to characterisation of the wave phenomena in metamaterials (MMs) is based upon the approximation of homogenised medium. When MMs are composed of the arrays of resonant scattering elements, with their sizes much smaller than the wavelength of the propagating electromagnetic wave, MMs can be described by the effective constitutive parameters of an equivalent continuous medium. Although a number of the homogenisation procedures have been proposed for the effective linear parameters of MM such as the effective permittivity and permeability, their physical meaning and applicability limits are still debated in the literature. In this paper, we present the results of the theoretical and experimental study of transmission spectra of electromagnetic waves propagating through a finite periodic layered structure, composed of the ferrite and semiconductor layers, which is subjected to external magnetic bias. We consider both fine-layered structure and that with the thickness of the layers being of the same order of magnitude as the length of incident electromagnetic wave. The aim of the presented work is to consider new types of waves formed in the area of transfer between photonic crystal (PC) and homogenized medium. Using results of theoretical and experimental investigations we compare the theoretical model outcomes with the real processes and define the conditions of applicability of the theory.

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