Abstract :
Computing of wave propagation and radiation through periodic band gap structures and their unique electromagnetic features attracted a huge research interest during the last decades. These features enabled the development of novel metamaterials and were exploited in frequency selective surfaces, phased arrays and numerous electromagnetic bandgap applications. Moreover, the metamaterials including photonic crystals are extensively investigated in the fields of optics, microwave, and antenna engineering due to their inherent possibility to develop novel devices that may not be found until now, [Huan Xie and Ya Yan Lu, J. Opt. Soc. Am. A 26, 2009, pp. 1606–1614]. Thus, the analysis and design of such structures have received particular attention which is almost exclusively directed toward the deterministic numerical simulations. Even though this analysis served as a very useful tool, it does not offer the required physical insight, while it does not provide any means to devise novel structures.
