Scattering of a dipole field by finitely conducting dielectric circular cylinders

Using the differential equation approach an exact formal solution for the fields due to an axial electric dipole in the presence of a homogeneous isotropic infinite circular cylinder is obtained in integral form. An asymptotic expansion of the integral yields the far field. Patterns for different choices of the parameters are given. It is seen that for dielectric cylinders in particular, drastic departures from the perfectly conducting case can be obtained leading to more directive patterns. This in turn may have application in the design of arrays.