Study of TM surface waves in metamaterial photonic crystals with self-defocusing uniaxial nonlinear cap layer

In this paper, we have analytically investigated the TM surface waves (SWs) by using the first integral of Maxwell’s equations in a semi-infinite one-dimensional photonic crystal (1DPC) which is truncated with the self-defocusing uniaxial nonlinear cap layer. We have studied the considered 1DPC in two cases: a metamaterial PC case (which has been made of alternate left-handed and right handed layers) and a usual PC case. Our findings reveal that between these structures, only in metamaterial PC case the dispersion of nonlinear SWs can be controlled by changing of the intensity of the electromagnetic field at the surface of self-defocusing nonlinear cap layer. Also, by comparing our results with those of the attenuated total reflection (ATR) method in the linear regime, we found that they are in line with them.