Versatile and accurate modeling of 2D-PBG materials by use of a full-wave theory for gratings

In this paper an accurate and efficient characterization of two-dimensional Photonic Band-Gap (2D-PBG) structures is performed, which exploits a full-wave diffraction theory developed for gratings. Photonic crystals constituted by two-dimensional arrays of dielectric rods with arbitrary shape and lattice configuration are analyzed, and the transmission and reflection efficiencies are determined. Results are presented for both TE and TM polarizations. Comparisons with theoretical and experimental results reported in the literature are shown with a very good agreement. Useful design maps are proposed by which an immediate and accurate visualization of the band-gap configurations can be obtained; design formulas are also included.