TY - JOUR
T1 - Covariant worldline numerics for charge motion with radiation reaction
AU - Harvey, C.
AU - Heinzl, T.
AU - Iji, N.
AU - Langfeld, K.
PY - 2011
Y1 - 2011
N2 - 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 ð‘†â¢ð¿â¡(2,â„‚) 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.
AB - 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 ð‘†â¢ð¿â¡(2,â„‚) 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.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-79960704272&partnerID=MN8TOARS
UR - https://go.openathens.net/redirector/westernsydney.edu.au?url=https://doi.org/10.1103/PhysRevD.83.076013
U2 - 10.1103/PhysRevD.83.076013
DO - 10.1103/PhysRevD.83.076013
M3 - Article
SN - 1550-2368
SN - 1550-7998
VL - 83
JO - Physical Review D
JF - Physical Review D
IS - 7
M1 - 076013
ER -