An analytical optimization of plasma density profiles for downramp injection in laser wake-field acceleration

TL;DR

This paper presents an analytical method to optimize plasma density profiles for laser wake-field acceleration, enhancing electron bunch injection and acceleration efficiency, validated by Particle In Cell simulations.

Contribution

It introduces a multi-step analytical approach based on an improved relativistic model to tailor plasma density profiles for better electron injection in LWFA.

Findings

Analytical profiles match PIC simulation results.

Optimized density profiles improve electron bunch injection.

Enhanced control over wave-breaking in plasma waves.

Abstract

We propose and detail a multi-step analytical procedure, based on an improved fully relativistic plane model for Laser Wake Field Acceleration, to tailor the initial density of a cold diluted plasma to the laser pulse profile, so as to control and optimize the partial wave-breaking of the plasma wave and maximize the acceleration of small bunches of electrons self-injected by the first wave-breaking at the density down-ramp, at least in the first stages of their acceleration phase. We find an excellent agreement with the results of Particle In Cell simulations obtained with the same input data.