Full-wave characterization of three-dimensional photonic bandgap structures

In this paper, an accurate and efficient characterization of three-dimensional electromagnetic bandgap (3D-EBG) structures is performed, which exploits a full-wave theory developed for doubly periodic gratings. The theoretical approach is presented, details on the numerical implementation are given, and the potentiality of the method in the analysis and design of EBGs is discussed. Convergence figures are reported and comparisons with both theoretical data available in the literature and in-house FDTD data are shown, with a very good agreement. Results are presented for EBGs with cubic inclusions, plots of the transmission efficiency as a function of geometrical and physical parameters are reported and commented on.