Body Centered Photonic Crystal

The photonic energy bands of body centered cubic photonic crystals formed from SiO₂, GaP, Si, InAs, GaAs, InP, Ge and BaSrTiO₃ dielectric spheres drilled in air and air holes drilled in these dielectric mediums were calculated using the plane wave expansion method. The filling factor for each dielectric material was changed until a complete energy gap was obtained and then the density of states was calculated. There were no complete band gaps for air spheres drilled in these eight dielectric mediums. The lattice constants were determined by using wavelengths in the region . The variation of the band gap widths with the filling factor and the variation of gap width to midgap frequency ratios with dielectric contrast were investigated. The largest band gap width of 0.021 for normalized frequency was obtained for GaP for the filling factor of 0.0736. The mode filed distributions were obtained by guiding a telecommunication wave with wavelength through a photonic cell formed from GaP spheres in air with a filling factor of 0.0736 for transverse electric and magnetic modes.