Exact scattering by a perfect electromagnetic conducting semi-elliptic-cylindrical boss on a perfectly conducting ground plane

摘要

An exact analytic solution is presented to the problem of scattering of a plane wave by a perfect electromagnetic conducting semi-elliptic-cylindrical boss located on an infinite perfectly conducting ground plane. The problem is formulated by expressing the incident, reflected, as well as the scattered electromagnetic fields in terms of appropriate angular and radial Mathieu functions and three sets of expansion coefficients. The coefficients associated with the incident and reflected field expansions are known, but those associated with the scattered field expansions are unknown. The unknown expansion coefficients can be determined analytically, by imposing appropriate boundary conditions at the surface of the associated perfect electromagnetic conducting elliptic cylinder. Results are presented as normalized scattering widths for semi-elliptic-cylindrical bosses of different sizes and admittances, to show the effects of these on scattering.