The long-wave theory of N pairwise alternate homogeneous and heterogeneous layers difraction

Abstract

Basic physics of theory is comparison of electrodynamic properties of heterogeneous media of nonuniform layer with chaotic or regular distribution of scatterers with small wave size and uniform anisotropic media with efficient values of components of dielectric permittivity and magnetic permeability tensors. Scattering coefficients of perpendicular and parallel polarization waves of bounded sequence are obtained by using circuit theory and matrix functions methods. We consider thick periodic grates of magnetodielectric bars with equal and orthogonal symmetry lines orientation and different geometrical and material parameters as two periodic nonuniform layers. We proved direct analytic formulas, which describe width and position of quasitransparency (quasicutoff) zones of band-pass and resonant wave passage and its dynamics on parametric relations of reflection factors. It is discovered effects that prove an opportunity of investigated structure usage in multifunctional electromagnetic field directors.