Modified Superformula Contours Optimized via Genetic Algorithms for Fastly Converging 2D Solutions of EFIE

Guler S., Onol C., Ergul O., Hatipoglu M. E., Sever E., Dikmen F., ...More

IEEE-Antennas-and-Propagation-Society International Symposium, Fajardo, Puerto Rico, 26 June - 01 July 2016, pp.1333-1334 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/aps.2016.7696374
  • City: Fajardo
  • Country: Puerto Rico
  • Page Numbers: pp.1333-1334
  • Keywords: Fast numerical convergence, integral equations, superformula, genetic algorithms
  • Middle East Technical University Affiliated: Yes


It is known that solutions of the integral equations converge at the smoothness rate of the parametrical function representing the boundary contour. Thus using an infinitely smooth parametrical representation with derivatives of all orders results into exponentially converging solutions. A version of superformula tailored for this purpose is exposed to optimization of its parameters via genetic algorithms to obtain smooth parameterization for desired boundaries in two dimensional problems. The convergence of the resulting solutions of the electric-field integral equation will be presented.