On the phase matching conditions in applications of one-dimensional photonic band gap structures for nonlinear frequency conversion

Band edge effects such as increased density of modes, large field enhanceme nt, and low group velocity will provide highly efficient parametric interac tion if the proper phase matching conditions are established in one-dimensi onal photonic band gap (PBG) structures. The analysis of the dispersion pro perties of one-dimensional PEG structure allows us to define the suitable p hase matching conditions for parametric interaction when quadratic nonlinea r materials constitute the layered geometry.