“…In the literature of topology optimization-based antenna design, the evolutionary structural optimization method has been extensively used, benefitting from the good extendibility of that method. For examples, dual-band antennas were optimized using the genetic algorithm, boolean particle swarm optimization algorithm or other gradient-independent methods ( Johnson and Rahmat-Samii, 1999;Li et al, 2002;Villegas et al, 2002;Afshinmanesh et al, 2008). These kinds of methods, owing not to use the gradient information, require extensive analysis for the large-scale problems, and the application of them is limited by their expensive computational cost (Sigmund, 2011).…”