Electromagnetic Scattering from Truncated Thin Cylinders: An Approach Based on the Incomplete Hankel Functions and Surface Impedance Boundary Conditions

The field scattered by truncated thin cylinders excited by arbitrarily oriented and polarized elementary electromagnetic sources is analyzed by means of the incomplete Hankel functions (IHFs). The currents excited on the cylinders and the related scattered fields are derived by solving electrical field integral equations (EFIEs) by means of the point-matching method of moments (MoM) using triangular basis functions. IHFs are employed so to express the electromagnetic field distribution in closed analytical form, thus allowing to obtain accurate numerical results. Structures having finite conductivities or formed by dielectric materials are modeled by surface impedance boundary conditions including curvature effects. Cylindrical structures, made up of carbon fibers, useful to realize focusing systems or reflector antennas, and dielectric cylinders, suitable to model plant shapes, are taken into consideration for the purpose of identifying their scattering properties.