Modulation instability of non-paraxial beams for self-focusing Kerr media

Abstract

Propagation stability of non-paraxial beam in nonlinear Kerr media is investigated by using the linear stability method.Both theoretical analysis and numerical simulation show that the modulation instability gain spectrum has three different distribution features, which are determined by ap0, where a and p0 represent the non-paraxial parameter and the incident power, respectively. Furthermore, the corresponding criterion is given to distinguish the three different distributions.