研究目的
Investigating the relativistic self focusing and frequency shift of a laser beam with super-Gaussian profile in space and Gaussian profile in time in plasma.
研究成果
Super-Gaussian laser beams can propagate more Rayleigh length without diffracting in uniform plasma compared to Gaussian laser beams, making them better candidates for laser plasma channeling and laser particle acceleration. The relativistic mass nonlinearity causes time dependent self focusing of the laser pulse, with frequency shifts enhanced due to self focusing. The laser does not lose its spatial super-Gaussian character during propagation, but its temporal profile significantly distorts due to unequal focusing at different normalized times.
研究不足
The study is theoretical and relies on numerical solutions of derived equations. Experimental validation and consideration of more complex plasma conditions could be areas for future optimization.