A device approach to propagation in nonlinear photonics crystal

We discuss the propagation in a nonlinear photonic crystal NPC by introducing an effective nonlinear dielectric constant (ENDC). We successfully produce the expected prediction of bistability, switching and changes in the photonic bandgap in a Stack with a Kerr nonlinearity. We demonstrate that the expected nonlinear chirping is not only a characteristic of a nonlinear slab, but of a nonlinear stack as a whole. This ENDC method is quite flexible and susceptible to problems that have a linear solution, as shown with some examples.