Genetic algorithms as applied to the numerical computation of electromagnetic scattering by weakly nonlinear dielectric cylinders

This paper deals with the application of an optimization procedure based on a genetic algorithm (GA) to the prediction of the electromagnetic fields s cattered by weakly nonlinear dielectric objects. Starting by an integral ap proach end describing the nonlinearities of the constitutive parameters by the Volterra-type integrals, the nonlinear scattering problem is numericall y solved by an iterative procedure developed for the minimization of a suit able defined cost function. A GA is applied in order to deal with a large n umber of unknowns related to the harmonic components of the nonlinear inter nal electromagnetic held. In a preliminary stage, the behavior of typical p arameters of the GA is analyzed; then numerical solutions are carried out a nd compared with those provided by other methods. Finally, some considerati ons are made concerning the rate of convergence of the iterative procedure.