Fastly Converging 2D Solutions of TE-EFIE on Modified Superformula Contours Optimized via Genetic Algorithms

Abstract

An infinitely smooth parametrical representation with derivatives of all orders is used, resulting into exponentially converging solutions of hyper-singular electric field integral equation (EFIE) in 2D. A version of superformula tailored for this purpose has been subject to optimization of its parameters via genetic algorithms to provide smooth parameterization for a desired boundary in two-dimensional problems. The organization of the hyper-singular kernel and convergence of the solution for EFIE assuming TE polarization will be presented.