A. V. Brovenko

Surface Resonances of Metal Stripe Grating on the Plane Boundary of Metamaterial

The paper is devoted to the study of the interaction of the electromagnetic waves with the structure composed of perfectly conducting strip grating, situated on the plane boundary of metamaterial with effective permittivity, depending on the frequency of the wave of excitation. The rigorous solution to the relevant diffraction boundary value problem is developed. The extensive numerical experiments, performed with a help of corresponding algorithm constructed, allowed to establish several regularities in the complicated process of interaction of electromagnetic waves with grating on dispersive metamaterial. The efficient association of analytical and numerical study has provided the understanding of the nature of resonant phenomena appearing in this process.

The H-polarized wave diffraction by a partially screened cylinder with magnetic active plasma properties: the analytical regularization procedure

Plane electromagnetic wave diffraction is considered as applied to a partially screened circular plasma cylinder with a related permittivity tensor The screening is realized with an infinitely thin and perfectly conducting unclosed circular cylinder with the generator parallel to the geometrical axis of the anisotropic plasma cylinder taken for the axis of a Cartesian coordinate system. The two-dimensional diffraction problem is considered.

1D inverse problems of electromagnetic theory of layered inhomogeneous anisotropic media

The inverse problems of the reconstruction of the dielectric permittivity tensor of multilayered inhomogeneous anisotropic slab by the reflection (transmission) coefficients known at the discrete sets of frequencies and angles of incidence are considered. The inverse problems have been reduced to optimal control problems for the Riccati equation. An analytical- numerical method for solving these problems has been developed. Numerical experiments demonstrating the computational efficiency of the proposed method have been carried out.

Inverse problems of electromagnetic sounding: Gradient medium and periodic boundary

The problems of the periodic interface profile reconstruction and the recognition of dielectric constant of the layered medium according to the values of the reflection coefficients for a finite set of probing frequencies are rather urgent in connection with the development of modern non-destructive testing methods. To solve them the original problems are reduced to the search for the optimal control (the profile of the dielectric constant) of the Cauchy problem for the Riccati equation. Construction of optimal control in the class of polynomial functions is based on the minimization of the corresponding functional. The criterion of selection of polynomial approximations for profile permittivity uses the separation of input data into Training and Testing sequences of probing frequency. An analysis of errors of the reconstruction of the imaginary part of permittivity of the layered medium was carried out.

Analytical-numerical method for solving problems of electromagnetic wave diffraction by the local cylindrical inhomogeneity

An analytical-numerical method for studying the diffraction characteristics of the inhomogeneous magnetodielectric circular isotropic cylinder excited by linearly polarized plane electromagnetic wave is suggested. The method is based on the construction of special solutions to the Cauchy problem for the Riccati equation and gives the opportunity to investigate the diffraction process for this type of structures.

Electromagnetic-wave diffraction by a strip grating with a layer of planar-stratified medium

A new solution approach to problem of wave diffraction by an inhomogeneous magnetodielectric layers, whose permittivity and permeability are piecewise continuous functions of a single spatial coordinate, was proposed in [1]. The approach is based on the reduction of the Helmholtz equation to the Riccati differential equation. The original numerical algorithm using a robust recurrence formula was constructed to calculate the solution integrals of the Riccati equation.In this work utilizing the results [1] we develop a high-performance method of the diffraction characteristics calculation for a periodic strip grating lying on an inhomogeneous dielectric layer. The excitation by an obliquely incident plane electromagnetic wave is considered.

A regularization method for a class of dual series equations in diffraction theory

The paper is devoted to the development of a regularization technique for a class of dual series equations. The two-dimensional problems of electromagnetic wave diffraction on metal screens located on the interface between anisotropic dielectric media, some contact problems in the theory of elasticity, etc. are reduced to the equations of this form or to the systems of the equations of this kind.