Scattering of a Plane Electromagnetic Wave by an Infinite Dihedral Wedge with a Slotted Cylinder at the Apex

The problem of scattering of a plane electromagnetic wave by a perfectly conducting dihedral wedge with a slotted cylinder at the apex in rigorous formulation is reduced to solving a system of linear algebraic equations for unknown coefficients of the Fourier expansion of the scattered field. The results of calculation of the far-zone field with a given accuracy are presented in the case of an E-polarized incident wave. It is shown that for a slot with a large opening angle, the radiation patterns of the field in the long-wavelength far zone has a shape similar to a cardioid and does not depend on the incident-wave direction and the dielectric permittivity of the cylinder. In the case of a narrow slot, the radiation-pattern shape depends significantly on the incidence angle of the wave.     

Diffraction of a plane electromagnetic wave by a cylindrical wedge with a rounded apex

We reduce the rigorously formulated problem of diffraction of a plane electromagnetic wave by a perfectly conducting cylindrical wedge with a rounded apex to solving the system of linear algebraic equations of the second kind for unknown coefficients of the Fourier expansions of the diffracted-field components. The expansion coefficients are determined analytically in the long-wavelength approximation. The results of calculations of the diffracted field in the far zone are presented with a given accuracy in the case of an E-polarized wave. It is shown that the rounding of the apex of a cylindrical wedge leads to an increase in the backscattering coefficient of the structure in the long-wavelength range. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 51, No. 5, pp. 447–451, May 2008     

Scattering of a plane electromagnetic wave by an infinite wedge with a truncated circular cylinder coated coaxially with a magnetodielectric layer

We formulate and solve the problem of scattering of a plane electromagnetic wave by an infinite, perfectly conducting wedge with a truncated, perfectly conducting circular cylinder which is coated coaxially with a magnetodielectric layer and located along the wedge edge. The rigorous solution is obtained and reduced to a system of linear algebraic equations of the second kind for unknown coefficients of Fourier expansions of the scattered field. The results of calculating the scattered field in the far zone with a specified accuracy are presented for the case of an H-polarized wave. It is shown that for certain values of the electric radius of the cylinder, the backscattering cross section of such a structure has pronounced maxima.     

Diffraction of a Plane Electromagnetic Wave by an Infinite Dihedral Wedge with a Magnetodielectric-Coated Cylinder at the Apex

We present a technique for obtaining a rigorous solution to the problem of diffraction of a plane electromagnetic wave by an infinite dihedral wedge with a magnetodielectric-coated cylinder at the apex. In the case of an E-polarized incident wave, we obtain a closed-form solution of the problem and present the results of exact calculations of the far-zone diffracted field for wide ranges of the structure parameters. In particular, it is shown that if the wedge apex is loaded with only a magnetodielectric cylinder, then the diffracted field for the very long-wavelength incident wave is not affected by the dielectric permittivity of the cylinder and the wave-incidence angle, but is affected only by the opening angle of the wedge, the diameter of the dielectric coating in terms of the free-space wavelength, the magnetic permeability of the coating, and the electric properties of the surrounding medium. If a half-plane or a wedge-shaped part are added to a single cylinder, then the backscattering coefficient of such a structure decreases, but the discovered resonance variation in the backscattering coefficient of the cylinder in the long-wavelength range becomes more pronounced.     

Diffraction of a Plane Electromagnetic Wave by an Infinite Double-Ridge Wedge with a Dielectric Cylinder at the Crest

We reduce the considered problem to solving a matrix equation of the second kind for unknown coefficients of expansion of a diffracted field into a Fourier–Bessel series. This expansion was obtained by imposing boundary conditions on the diffracted field with the subsequent re-expansion of the field function over basis functions in a given interval. The expansion coefficients were determined analytically in the case where the electric diameter of the cylinder is less than unity as well as numerically with a high accuracy by solving the obtained matrix equation using the reduction method. We derived expressions for the pattern of the far-zone field scattered by the studied structure and the backscattering cross section and give exact numerical results for the case of an E-polarized incident wave.