TREATMENT OF SINGULARITIES IN SCATTERING FROM PERFECTLY CONDUCTING POLYGONAL CYLINDERS—A NUMERICAL TECHNIQUE

Abstract

Certain field components become infinite at sharp edges, causing difficulties in computation when solving scattering problems for polygonal cylinders by numerical methods. Since the field behavior near an edge is known, it is possible to devise appropriate functions to represent the singularities at the edges. By suitably representing the induced current and using an integral equation for it, it is possible to obtain a set of simultaneous linear equations which can be solved by a high-speed digital computer. In this way, an explicit analytical expression for the induced current including the singularities from which the other field components can be derived, is obtained. Numerical results are shown for square and triangular cylinders of various sizes, for an incident plane wave polarized parallel to the axis of the cylinders.