Temporal and spatial coherence properties of nonstationary polychromatic light sources in one-dimensional photonic band-gap structures.

Abstract

In recent years one-, two- and three-dimensional, periodic, dielectric and metallodielectric structures have attracted a great deal of attention[l, 2]. In such materials, electromagnetic field propagation is forbidden for a range of frequencies, and allowed for others. The nearly complete absence of some frequencies in the transmitted spectrum is referred to as a photonic band gap (PBG), in analogy to semiconductor band gaps We have investigated the temporal coherence and the spatial coherence over PSG by using the plane wave spectrum extension of the matrix method [3]. This method gives us the PBG’s spatial temporal output field and hence the possibility of calculation of all the functions of coherence: in this work we have studied the two frequency spectral density, the cross correlation and the complex degree of coherence.