A critical analysis of propagation through optically induced photonic bandgap structures in photorefractive materials

Using a simple transmission line analogy and transfer matrices, we model optical propagation through one-dimensional photonic bandgap structures. Our objective is to analyze the frequency response of the reflectivity and transmittance in such devices with varying refractive index change, material thickness, angle of incidence and in the presence of possible defects. Our results should prove useful in providing guidelines for selection of optical materials such as photorefractives in which such bandgap structures can be programmably induced.