Abstract
The problem of scattering of a plane wave from a perfect electromagnetic conducting semi-elliptic-cylindrical boss on an infinite perfectly conducting plane, is solved using the method of separation of variables. The formulation is realized by expressing the incident, reflected, and scattered electromagnetic fields as series expansions in terms of suitable angular and radial Mathieu functions. Imposing boundary conditions at the surface of the boss plus its image on the perfectly conducting plane, allows the unknown scattered field expansion coefficients to be determined in closed form. Results are presented as normalized scattering widths for semi-elliptic-cylindrical bosses of different sizes, shapes, and perfect electromagnetic conducting admittances, to show the effects of these on scattering.