Simulation of the relativistic electron dynamics and acceleration in a linearly-chirped laser pulse

TL;DR

This paper investigates the relativistic dynamics and acceleration of a single electron in a linearly-chirped laser pulse using analytical and numerical methods, providing insights into laser-electron interactions.

Contribution

It presents a combined analytical and numerical study of electron acceleration in a chirped laser pulse, including independent code validation.

Findings

Successful simulation of electron acceleration from rest and relativistic speeds.

Consistent results obtained from Mathematica and Python implementations.

Insights into electron dynamics in linearly-chirped laser fields.

Abstract

Theoretical investigations are presented, and their results are discussed, of the laser acceleration of a single electron by a chirped pulse. Fields of the pulse are modeled by simple plane-wave oscillations and a $\cos^2$ envelope. The dynamics emerge from analytic and numerical solutions to the relativistic Lorentz-Newton equations of motion of the electron in the fields of the pulse. All simulations have been carried out by independent Mathematica and Python codes, with identical results. Configurations of acceleration from a position of rest as well as from injection, axially and sideways, at initial relativistic speeds are studied.