Dispersive properties of one-dimensional photonic band gap structures for second harmonic generation

We analyse the dispersive properties of one-dimensional photonic band gap structures, and discuss applications to phase matching conditions in the case of second harmonic generation. Band edge effects such as increased density of modes, large field enhancement, and low group velocity induce highly efficient parametric amplification, provided the proper phase matching conditions can be established. Direct integration of Maxwell's equations in the time domain confirms these conclusions, and shows that parametric amplification in one-dimensional photonic band gap structures provide much larger conversion efficiencies compared with ordinary quasi-phase-matching devices.