Accurate technique for the 2D microwave dielectric-rod antenna simulation

The effect of beam directivity improvement, due to an arbitrarily shaped dielectric cylinder taken as a 2-D model of a dielectric rod or lens antenna, is studied. The beam is simulated by the field of a Complex Source-Point (CSP) line current. An efficient algorithm for the solution of the 2D problem of wave scattering by a smooth dielectric cylinder with a "super-elliptic" cross-section that simulates a rectangle with rounded edges is developed, based on the concept of analytical regularization. The basic properties of the algorithm are studied. Numerical results for the accuracy of the algorithm and sample far-field radiation patterns for both E- and H-polarization cases are presented.