Взаимодействие плоской электромагнитной волны с дифракционной решеткой из метаматериала

Abstract

Interaction of the plane wave with metamaterial grating for arbitrary relationship between the wavelength, grating geometrical and material parameters is investigated. Fourier method and partial areas method are used for task solution. The main regularities of the plane wave scattering in single wave and multiwave regimes for different values of the permittivity and permeability are derived. Multiwave regime corresponds to case of two spatial harmonics propagation near the metamaterial grating. Electrodynamic system parameters that correspond to total wave reflection or transmission are defined. Spatial distributions of the electromagnetic field components are calculated on the basis of the linear algebraic equations set solution. The Brillouin zones for metamaterial grating (double negative material) are calculated for determination of the task eigenvalues.