Optimizing laser-driven electron acceleration with sinh-squared Gaussian pulses

To obtain energy-efficient electron acceleration, several Gaussian pulse profiles like Bessel-Gaussian, super-Gaussian, and cosine-Gaussian are studied analytically. In this series, we have chosen sinh-squared-Gaussian pulse profile to investigate electron acceleration and to optimize various laser pulse and plasma parameters. For this purpose, analytical solution of wake potential, wakefield, and electron energy gain by selected laser pulse profile is obtained. Curves are plotted to discuss and compare the analytical results. The findings indicate that the wake potential, wakefield, and electron energy gain are directly proportional to the square of the laser field amplitude. The increase in plasma density results in a damped oscillatory change in energy gain. The impact of pulse length and sinh-squared-Gaussian parameter on energy gain is also examined, and optimal values for these parameters are determined. The given values yield a maximum energy gain of 1.7 GeV. The results of our analytical investigation will assist researchers in selecting an appropriate pulse profile to achieve energy-efficient electron acceleration.