Nonlinear photonic crystal with negative index materials

We study the effects of dispersionless magnetic and dielectric materials on the optical nonlinear response of periodic photonic crystal composed of finite bilayers, particularly the transmitted and reflected second harmonic spectra. When both real permittivity and permeability are having negative sign simultaneously, interesting effects on second harmonic electric fields are observed. Strong backward SH field is observed in negative refractive index photonic crystal compared with conventional photonic crystal. The direction of the second harmonic wave can be controlled by engineered negative refractive index, useful for designing optical steering devices.