Influences of Compton scattering on the propagation properties of sub-picosecond super-Gaussian pulse in plasma

By using the model of multi-photon nonlinear Compton scattering,nonlinear Schrdinger equation,Rungekutta algorithm and variation method,the influences of Compton scattering on the propagation properties of sub-picosecond super-Gaussian pulse in plasma are studied.The revised equations of the propagation evolution of super-Gaussian pulse are given out,and the equations are computed by using numbers.The results show that the compressed degree of pulse width and nonlinear effect are increased by Compton scattering than before Compton scattering,pulse expansion width is decreased and dispersion effect is effectively decreased by the increased nonlinear effect.The frequency is quivered when the pulse width is reached maximum or minimum,the chattering is not a 0.The oscillation evolution of the amplitude of the super-Gaussian pulse is accelerated along with the increase of propagation distance,the oscillation evolutions of the chattering and pulse width are accelerated too,the linear relation quivering is appeared between the frequency and phase and propagation distance,the quasi-linear relation is appeared between the central place of pulse and propagation distance.The important influences to the conformal transmission of the super-Gaussian pulse are taken place by Compton scattering.