Simple mathematical mapping based meshing technique with application to antenna simulations

A simple meshing technique, based on mathematical mapping, is introduced. In this technique, a basic unit, such as a rectangular plate or a circular plate, is generated using triangular patches; then it is mapped into a specified surface using a mathematical formula. In this way, any closed or open cylinder can easily be generated by the rectangular plate and any dish reflector by the circular plate. Examples are given for wire antennas and dish reflectors with radiation pattern, gain and impedance simulations using the Rao-Wilton-Glisson (RWG) basis function based MoM.