Contents
Section 1. Topics on theoretical electrodynamics
The conductivity of a thin layer in the case of an inhomogeneous electric field
E.V. Zavitaev, O.V. Rusakov, T.E. Simonova, A.I. Utkin
Abstract
The conductivity of a thin layer is calculated in the case of an inhomogeneous electric field. When solving the kinetic equation, mirror-diffuse Fuchs boundary conditions are used for reflecting charge carriers. The limiting cases are considered and the results are discussed.
Keywords: hin layer, electrical conductivity, chemical potential, inhomogeneous electric field, mirror-diffuse Fuchs boundary conditions
Section 2. Topics on computer simulation in electrodynamics
Conditions and criteria for weak angular dependence of the surface impedance of a single-layer magnetodielectric coating
A.S. Maslov, V.N. Kisel
Abstract
In some cases, the concept of surface impedance is used to calculate the scattering properties of smooth coated objects. At that, it is important that the dependence of the impedance on the incidence angle and polarization factor can be ignored. The paper considers the conditions under which the constant impedance approximation is performed with a given accuracy for the case of a single-layer coating of a magnetodielectric placed on a metal surface. The examples show that the constant impedance approximation is not always applicable, which may lead to a significant error in calculating the reflection coefficient of the coating or the scattering fields of coated bodies. Criteria for the applicability of the constant impedance approximation are proposed. It is shown that the relative deviation of the impedance from a constant value is determined by only two parameters of the problem: the electrical density κ = √εμ and the product kd, where k is the free-space wavenumber and d is the thickness of the coating. The angular dependence of the relative impedance deviation function at various values of κ and kd is analyzed. It is shown that if the thickness of low-loss coating constitutes an integer number of quarters of the wavelength, then the constant impedance approximation is not applicable. Approximate expressions for calculating the relative deviation of the impedance at |k| ≫ 1 and simple expressions for qualitative analysis are obtained.
Keywords: magnetodielectric coating, impedance, reflection coefficient, angular dependence, polarization
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