Non-Gaussian Pulse Propagation and Pulse Quality Factor Using Intensity Moment Method

The propagation of ultra-short light pulses with nonlinear chirp and arbitrary amplitude profile is treated by using first-order and second-order intensity moments in temporal domain. A generalized pulse complex parameter P^-1 is introduced and its propagation law through dispersive systems is derived. The pulse quality factor M²_Τ is introduced. As an example, the propagation of pulses with sech-type amplitude profile through dispersive media is included. This method is proved to be a simple way to treat the propagation of non-Gaussian pulses through dispersive system compared with the temporal integral.