What’s New in Nonlinear Optics
This talk begins with a brief overview of the history of nonlinear optics and a description of some standard nonlinear optical effects. I will then turn to a more detailed discussion of two topics of current interest. The first topic is the role played by nonlinearity in the creation of rogue waves, including oceanic rogue waves. We have performed careful studies of optical wave propagation through nonlinear materials to elucidate the role of nonlinearity in the development of extreme (rogue) events. The second topic is an overview of wave propagation effects through materials characterized by a very small value of the dielectric permittivity, that is, through epsilon-near-zero (ENZ) materials. We describe some of the unusual properties of wave propagation through such materials including the huge nonlinearities that necessarily accompany ENZ conditions.