Hermite-Cosh-Gaussian as a promising laser pulse envelope for electron acceleration

This study introduces the Hermite-Cosh-Gaussian (HChG) laser pulse envelope as a novel profile for electron acceleration in vacuum and laser-plasma interactions. While much research has focused on Gaussian laser pulses, the HChG profile offers a distinct yet experimentally feasible alternative, created through the superposition of Hermite-Gaussian and Cosh-Gaussian modes. The HChG profile is particularly advantageous for controlling the self-focusing phenomenon through two adjustable parameters: the Hermite order (s) and the decentered parameter (b). This profile has been tested under various conditions, including polarization radiation, chirping effects, and the application of an external magnetic field. The findings demonstrate that the HChG envelope facilitates significant electron energy gains, reaching the GeV range, with enhanced performance when combined with an external axial magnetic field and linear frequency chirp. These improvements are attributed to the extended interaction time provided by the chirp and the energy retention effect of the magnetic field. Additionally, a comparative analysis reveals that a circularly polarized (CP) HChG beam offers superior acceleration results compared to a linearly polarized HChG beam, due to the axial symmetry inherent in CP configurations. The outcomes of this research hold potential for applications requiring high-energy outputs, such as cancer treatment and hard X-ray generation.