Existence of two-dimensional absolute photonic band gaps in the visible

Abstract

Using the plane wave method, we study two two-dimensional structures that possess absolute photonic band gaps: the triangular and the graphite photonic crystals. We compare their convenience in achieving photonic crystals which inhibit the propagation of visible electromagnetic waves. We show that this is very difficult to obtain with a triangular structure because its gap is too narrow and its dimensions are too small to be fabricated. On the contrary, wider gaps and larger dimensions that can easily be etched makes graphite a much more appropriate structure.

Wave propagation in ordered, disordered, and nonlinear photonic band gap materials

“…Assume the dielectric modulation to be only on the z -y plane and in-plane wave propagation. The structure consisting of parallel, infinitely long air cylinders in a dielectric background, arranged in a triangular lattice, was shown to be the optimal case [37], together with the one consisting of dielectric cylinders in air arranged in the graphite structure [38]. Experiments done in the microwave regime [39,40] showed excellent agreement with the theoretical predictions.…”

“…for a triangular arrangement of air cylinders in dielectric [37] and for a graphite arrangement of solid dielectric cylinders in air [38].…”

Octagonal Quasi-Photonic Crystal Single-Defect Microcavity With Whispering Gallery Mode and Condensed Device Size

“…The electromagnetic wave propagation inside a PC is forbidden for some specific or all directions for a certain frequency range due to the photonic bandgap (PBG) effect [1]. However, it has been reported that there is anisotropy of PBG in PC caused by the low-level rotational symmetry in its Brillouin zone [2], [3]. Higher rotational symmetry leads to more circular Brillouin zone and less anisotropy of PBG.…”

Complete and absolute photonic bandgaps in highly symmetric photonic quasicrystals embedded in low refractive index materials

“…This would provide the ideal PBG structure for the use in applications where the inhibition of spontaneous emission is desirable. It is firmly established that periodic triangular and hexagonal lattice structures can support complete photonic bandgaps in 2D and 3D [4][5][6]. However, complete and absolute PBGs (CAPBGs) have only been achieved in very high dielectric constant materials like GaAs (m= 13.6) using hexagonal lattice structures [6].…”

“…For many applications involving the use of PCs it is desirable to acquire complete and absolute photonic bandgaps [4]. In the case of such PBG structures, the wave propagation is forbidden for any direction of propagation, and independent of the polarisation state.…”