Electromagnetic Scattering by a Slender Body of Revolution: Axially Incident Plane Wave

Scattering of an axially incident plane electromagnetic wave by a perfectly conducting slender body of revolution is studied. The scattered field is represented as the field due to a distribution of magnetic and electric dipoles distributed along a segment of the axis of the body and lying entirely inside the body. The boundary conditions on the body lead to a pair of coupled linear integral equations for the (unknown) dipole densities. The first few terms in the asymptotic expansion of the dipole densities, as well as the extent of the distributions, are found in terms of the slenderness ratio of the body. The far field behavior of the scattered fields, the induced dipole moments, and the scattering cross section are computed. The special case of a prolate spheroid is treated to illustrate the general theory, and the general results are found to agree with the exact solution in this case.