MATHEMATICAL TREATMENT USING RUNGE-KUTTA (RK-4) METHOD FOR HERMITE GAUSSIAN (H-G) LASER PULSE IN VACUUM FOR CIRCULARLY POLARIZED LASER PULSE AND LINEARLY POLARIZED LASER PULSE, AND EFFECTS OF DECENTRE PARAMETER AND ELECTRON ENERGY GAIN VERSUS LASER INTENSITY PARAMETER

摘要

In this paper the study of electron energy gain versus laser intensity parameter using decentre parameter has been done for H-G laser pulse in vacuum. The investigation shows that that on increasing the value of decentre parameter the gain in energy has been found i.e. higher is the b, higher is the enhancement. So the decentre parameter plays important role in energy enhancement. Other parameters are also helpful in energy enhancement again it has been found that the energy gain becomes higher for circularly polarized laser pulse (CP) than a linearly polarized laser pulse (LP) for a H-G laser pulse. The study shows a linear relation between energy gain and laser intensity parameter (a_0) for a limited value of a0 and the mode index.