Induced Current on a Thin Cylinder Above a Finitely Conducting Half-Space,

摘要

A thin cylinder above a finitely conducting half-space is illuminated by a monochromatic plane wave. The electric vector of the incident plane wave is parallel to the axis of the cylinder and the Poynting vector of this incident plane wave intersects the surface of the finitely conducting half-space at an oblique angle. Green's functions are employed in a formulation which requires the application of boundary conditions in two coordinate systems: a cylindrical coordinate system for the thin cylinder and a Cartesian system for the finitely conducting half-space. Formal expressions are derived for the total current on the thin cylinder and the electric field at the surface of the half-space under the condition that the height of the thin cylinder above the half-space is much greater than its radius. The height of the thin cylinder above the half-space,however,is unrestricted with respect to wavelength. The formal expression for the total induced current on the thin cylinder is shown to reduce to the appropriate limiting form when the height or the half-space conductivity becomes infinite. (Author)