Abstract
The integral equations governing the electromagnetic scattering by bodies of revolution involve the computation of what are called the modal Green's functions. These functions are evaluated repeatedly. Hence, any saving in time while computing these functions will be reflected on the overall time of computation. These functions are usually evaluated using an adaptive numerical integration technique. In this work, an exact series form is obtained to efficiently evaluate these functions. An acceleration technique is used to speed up the series convergence. The method can be implemented in existing codes. It is shown that a significant saving in the time of computation is achieved using the series form.