Covariant Worldline Numerics for Charge Motion with Radiation Reaction
arXiv:1012.3082 · doi:10.1103/PhysRevD.83.076013
Abstract
We develop a numerical formulation to calculate the classical motion of charges in strong electromagnetic fields, such as those occurring in high-intensity laser beams. By reformulating the dynamics in terms of SL(2,C) matrices representing the Lorentz group, our formulation maintains explicit covariance, in particular the mass-shell condition. Considering an electromagnetic plane wave field where the analytic solution is known as a test case, we demonstrate the effectiveness of the method for solving both the Lorentz force and the Landau-Lifshitz equations. The latter, a second order reduction of the Lorentz-Abraham-Dirac equation, describes radiation reaction without the usual pathologies.
arXiv comment21 pages, 6 figures
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Cited by in corpus (12)
- Extremely high-intensity laser interactions with fundamental quantum systems
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- Charged particle motion and radiation in strong electromagnetic fields
- Radiation reaction in electron-beam interactions with high-intensity lasers
- Peak intensity measurement of relativistic lasers via nonlinear Thomson scattering
- SIMLA: Simulating laser-particle interactions via classical and quantum electrodynamics
- Signatures of Radiation Reaction in Ultra-Intense Laser Fields
- Strong-Field QED and High Power Lasers
- Focussing effects in laser-electron Thomson scattering
- Radiation damping in pulsed Gaussian beams
- First-order strong-field QED processes including the damping of particles states
- In Situ Characterization of Ultraintense Laser Pulses