Optical properties of photonic band gaps in one dimensional binary photonic crystals with dispersive constituents

Abstract

In this contribution, a binary photonic crystal, basically comprising repeated layers of quartz and silicon, is studied analytically using transfer matrix method. Refractive indices of the constituent layers are assumed to depend on wavelength according to Sellmeier approximation formula. The effect of the selected materials, number of layers and their thicknesses and the angle of incidence on transmittance of the photonic crystal are studied in detail. Results show that the structure is more sensitive to changes in silicon layer thickness and tolerant to changes in the incident angles. Changing the layer thickness, multi photonic band gaps arise and the gaps are shifted to another optical frequency range. As the difference between refractive indices gets larger, the photonic band gap (PBG) gets wider and moves toward longer wavelengths. These photonic crystals are expected to be useful in fabricating perfect mirrors, designing optical control devices and optical sensors.