Coherence effects in propagation through one-dimensional photonic bandgap structures with a rough glass interface

The effect of the coherence of a beam traveling through a photonic ID structure coupled with a rough glass is studied. The analysis is made for the case of spatial coherence showing the possibility to determine the coherence characteristics of the beam by an examination of the output field. We have shown that starting from a simple plane wave with Gaussian partial spatial coherence, we still obtain a partial coherence process on the output of the system, which, however, is no more Gaussian. The output process is no more a stationary Gaussian process. The output field correlation now depends not only on the distance between two points, but also on their position. (C) 2007 Optical Society of America.