Accurate and Efficient Evaluation of Modal Green's Functions

Abstract

Accurate and efficient numerical evaluations of the modal Green's functions are essential in radar cross section, scattering, and antenna problems involving bodies of revolution. It is shown that a combination between the trapezoidal rule and Gauss-Hermite quadrature along the steepest-decent contours produce 10 digits of accuracy for a low computational cost in non-singular cases. The near singular cases are of similar accuracy for a slightly higher computational cost.