Bistatic Scattering For A Finite Lossy Cylinder

The problem of scattering from a finite conductive cylinder with complex permittivity at arbitrary orientation is analyzed using a first-order approximation to an iterative technique developed by Shifrin. The classical Kerker solution for a simple infinite dielectric cylinder is extended to a more physically realistic solution accounting for a finite-length cylinder with frequency-dependent complex permittivity using a modified Drude conductivity approach. The polarization matrix of the cylinder is derived from the electrostatic solution for a finite cylinder in a uniform electric field, and it is given as a function of the length-to-diameter ratio (aspect ratio) and the permittivity of the cylinder. The electrostatic solution for a finite cylinder does not permit a closed solution; therefore the cylinder is approximated by an inscribed ellipsoid which provides a converging analytic expression. The effects of typical variations in the length, diameter, and bulk conductivity of the cylinder were analyzed for TE, TM, and TEM polarizations.