“…Generally, the design problem is formulated as an optimization problem. The design of antenna arrays has a nonlinear and non-convex dependence of elements parameters [Kurup et al 2003], because of that, the interest has been focused on stochastic search techniques, such as simulated annealing (Murino et al, 1996), and mainly, genetic algorithms (GA's) (Ares-Pena et al, 1999;Haupt, 1994;Haupt, 1995;Panduro et al, 2005;Rahmat-Samii et al, 1999;Weile et al, 1997;Yan et al, 1997), widely used in electromagnetic problems, including the synthesis of phased antenna arrays (Mailloux, 2005;Hansen, 1998). The antenna arrays optimization for improving performance represents an open line of r e s e a r c h i n t h e a n t e n n a d e s i g n f i e l d .…”