The electron acceleration in vacuum has been studied theoretically using a radially polarized (RP) Hermite-cosh-Gaussian (HChG) laser beam. Even if the laser’s power is low, the RP HChG laser beam is quite effective and responsible for producing high energy electron. Due to the beauty (earlier focus) of such a laser beam, it is significantly better suited to acquiring GeV order energy over short periods of time than other laser beams. The electron acceleration process is strongly influenced by two more adjustable parameters associated with this beam: decentered parameter (b) and Hermite order (s). Throughout this investigation, better trapping phenomena have been identified. The effects of changing the intensity parameter (), the beam waist width (), the decentered parameter (b), and the order of the Hermite function on electron energy gain have been investigated.
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