Two-dimensional Complete Photonic-Bandgap Structures in the Visible

Han van der Lem, FOM-Instituut voor Atoom en Molecuulfysica, Amsterdam, The Netherlands.
Alexander Moroz, Utrecht University, Utrecht, The Netherlands

Band gaps in two- and three-dimensional photonic crystals are hard to achieve due to the limited contrast in the dielectric permeability available with conventional dielectric materials. The situation changes for periodic arrangements of scatterers consisting of materials with a Drude-like behaviour of the dielectric function. We show for two-dimensional square and triangular lattices that such systems have complete photonic band gaps (CPBG's) below infrared wavelengths. Of the two geometries, the optimal one for ideal Drude-like behaviour is a square lattice, whereas for Drude-like behaviour in silver, using experimental data, the optimal geometry is a triangular lattice. If the lattice spacing is tuned to a characteristic plasma wavelength, several CPBG's open in the spectrum and their relative gap width can be as large as 36.9% (9.9% in a nonabsorptive window) even if the host dielectric constant equals unity. Such structures can provide CPBG structures with bandgaps down to ultraviolet wavelengths. by the U.S. Department of Energy