Exact Solution of Hartemann-Luhmann Equation of Motion for a Charged Particle interacting with an Intense Electromagnetic Wave/Pulse

TL;DR

This paper presents an exact analytical solution to the Hartemann-Luhmann equation for a charged particle in an intense electromagnetic wave, demonstrating the model's adequacy for practical energy calculations despite radiation reaction effects.

Contribution

The paper provides the first exact solution to the Hartemann-Luhmann equation and compares its predictions with other models, showing its simplicity and reliability for practical energy estimates.

Findings

Radiation reaction significantly affects particle dynamics.

Average energy gain is model and polarization independent.

Hartemann-Luhmann equation is adequate for practical energy calculations.

Abstract

We report an exact solution of the Hartemann-Luhmann equation of motion for a charged particle interacting with an intense electromagnetic wave/pulse. It is found that the radiation reaction force has a significant affect on the charged particle dynamics and the particle shows, on average, a net energy gain over a period of time. Further, using a MATHEMATICA based single particle code, the net energy gained by the particle is compared with that obtained using Landau-Lifshitz and Ford-O'connell equation of motion, for different polarizations of the electromagnetic wave. It is found that the average energy gain is independent of both the chosen model equation and polarization of the electromagnetic wave. Our results thus show, that the simpler and hence analytically tractable Hartemann-Luhmann equation of motion ( as compared to Landau-Lifshitz and Ford-O'connell equation of motion) is adequate for calculations of practical use (for e.g. energy calculation).