Dynamics of Emitting Electrons in Strong Electromagnetic Fields

TL;DR

This paper derives a modified Lorentz-Abraham-Dirac equation that conserves momentum and avoids runaway solutions, enabling accurate modeling of electron dynamics and radiation in strong electromagnetic fields, with applications to laser-plasma interactions.

Contribution

It introduces a non-perturbative, conservation-law-compliant Lorentz-Abraham-Dirac equation that improves modeling of electron behavior in intense fields.

Findings

The new equation conserves generalized momentum.

It accurately predicts radiation effects on electrons.

Application to laser-plasma interactions demonstrates its effectiveness.

Abstract

We derive a modified non-perturbative Lorentz-Abraham-Dirac equation. It satisfies the proper conservation laws, particularly, it conserves the generalized momentum, the latter property eliminates the symmetry-breaking runaway solution. The equation allows a consistent calculation of the electron current, the radiation effect on the electron momentum, and the radiation itself, for a single electron or plasma electrons in strong electromagnetic fields. The equation is applied to a simulation of a strong laser pulse interaction with a plasma target. Some analytical solutions are also provided.