Band gap studies of triangular 2D photonic crystals with varying pore roundness

Abstract

Photonic crystals (PCs) are theoretically studied in order to correlate the structural parameters with the resulting electromagnetic behaviour. Two-dimensional (2D) PCs of dielectric media are routinely assumed to be formed by circular rods or pores, respectively. Main topics of the paper are band gap modi®cations (TM-and TE-polarization) for pores of deteriorating roundness, approximated by ellipses of varying eccentricity. On the basis of Maxwell's equations and a`plane wave expansion', band structures are computed for triangular 2D lattices of air columns in silicon. The results are compared with calculations for circular air columns of varying ®lling factors. q

Practicability Analysis and Application of PBG Structures on Cylindrical Conformal Microstrip Antenna and Array

“…In terms of the Bragg reflect condition [13][14][15][16], the period of the PBG structure T is half of the guide wavelength of a general microwave strip Return loss with different curvature radius. …”

“…Due to properly designing the lattice periodicity on space, the PBG structures can be used to suppress the surface wave and improve the performance of the patch antenna [13][14][15][16][17][18], the efficiency of suppressing the high order harmonics and surface waves have been compared with that of normal structures. However, the application of PBG structures is mainly to plane structure [19,20].…”

Photonic crystal-like material synthesized by self-organization

“…Conventional methods for preparation of PC are usually based on microfabrication or holographic techniques [5][6][7][8]. The former technique, also referred as top-down fabrication, involves several steps like, (1) etching a layer of holes into a high-index substrate (2) filling these holes with a material of different dielectric constant and (3) growing another layer of high-index material on top of this, repeating the processes and finally removing the filling material to get the desired structure.…”

Modelling and design of complete photonic band gaps in two-dimensional photonic crystals

“…A large complete or absolute photonic band gap can be obtained in 2D square and triangular lattice of cylinders by introducing anisotropy in material dielectricity [5]. It can also be obtained in 2D triangular lattice of air holes with varying roundedness in dielectric and in 2D rectangular lattice of elliptical air holes in dielectric [6][7][8]. However, most of the studies on the existence of complete photonic band gap have been done on the 2D photonic crystals composed of air holes in dielectric media.…”