The effect of electrodynamic parameters of a composite material on the characteristics of the wave reflected from a dielectric layer

Abstract

Variable electrodynamic parameters of composite materials are determined using the methods providing simultaneous measuring of the free- space permittivity and magnetic permeability within a broad band. Thus, the problems regarding reflection of an electromagnetic wave from the boundary of a dielectric layer and modeling of the phase shift of the wave reflected from a dielectric plate become rather relevant. We report the results of studying the effect of the electrodynamic parameters of composite materials on the characteristics of the wave reflected from a dielectric plate. Analytical expressions are derived for the phase of the reflected wave when an incident plane wave is oriented at an angle to the composite plate with variable electrodynamic parameters. The matrix method is used to obtain the equations for calculating the phase shift of the reflected wave. It is shown that for incident waves with a vector of electric field lying in the plane of incidence (TM waves) and normal to it (TE waves), a jump in the phase shift by π is observed for the electric thickness of the plate multiple of the half-wavelength. A similar phase jump is observed in the case of an incident TM wave near the Brewster angle. An analysis of the frequency dependences of the phase shift, including the phase shift and amplitude drop at a corresponding frequency, as well as data on the effect of losses in the plate material on the phase shift of the reflected wave are presented. The results of studying the angular dependence of the phase shift of the reflected wave in the region of the Brewster angle can be used in solving applied problems of electrodynamics (e.g., when developing a broadband broad-band direction finding device).