Study on the Influence of the Incidence Direction on the Photonic Band Gap in Porous Si-based Dielectric Heterostructures

Abstract

The efiect of the angle of incidence upon the omnidirectional re∞ectance of an elec- tromagnetic wave that propagates throughout ‚=4 multilayered dielectric porous-silicon-based heterostructures is theoretically studied. The transfer matrix formalism is used to perform sim- ulations of light propagation for difierent angles of incidence. Several distinct arrays for the dielectric proflles are considered. They include periodic, quasiregular and hybrid quasiregular- periodic layer sequences. The same study is extended to deal with non-quarter-lambda stacking rugate and Gaussian structures. All structures have a total thickness of around 15.8m approx- imately, with refractive indices of 1:2 and 2:5 for the constituent layers. The results show the advantage of the porous-silicon hybrid structure to generate enhanced omnidirectional re∞ectance up to 60 - .