Non-gaussian pulse propagation and pulse quality factor using intensity moment method

The propagation of ultra-short light pulses with nonlinear chirp and arbitr ary amplitude profile is treated by using first-order and second-order inte nsity moments in temporal domain. A generalized pulse complex parameter P-1 is introduced and its propagation law through dispersive systems is derive d. The pulse quality factor M-tau(2) is introduced. As an example, the prop agation of pulses with sech-type amplitude profile through dispersive media is included. This method is proved to be a simple way to treat the propaga tion of non-Gaussian pulses through dispersive system compared with the tem poral integral.