Diffraction of a Plane E-polarized Wave on Waveguide Van Atta Array, Placed on the Surface of PEC Cylinder

Abstract

The two-dimensional problem of the diffraction of a plane E-polarized wave on a Van Atta waveguide array located on the surface of a perfectly-conducting circular cylinder is solved. The radiators in the form of open ends of waveguides are connected by plane-parallel multimode waveguides of uniform length. The task is reduced to solving an integral equation for the magnetic field vector over the entire surface of the cylinder, which is reduced to an infinite system of linear algebraic equations for the coefficients of the expansion of the magnetic field vector for a complex Fourier series in azimuthal harmonics. The solution of the equation was received strictly and approximately. An expression for the scattering diagram is obtained, represented through the geometrical parameters of the structure.