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

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