Special unitary particle pusher for extreme fields

Abstract

An exact momentum update useful for particle codes was previously given. The expressions involved were unwieldy. By treating the momentum as a representation of SU(2)xSU(2) instead of SO(3,1), a more compact expression for the exact momentum update is obtained. An expansion in powers of the timestep can be formulated such that invariance properties are exactly preserved, and push rates comparable to the standard Boris pusher are obtained.

References in corpus (6)

• Structure-preserving second-order integration of relativistic charged particle trajectories in electromagnetic fields
• Temporal resolution criterion for correctly simulating relativistic electron motion in a high-intensity laser field
• Accurately simulating nine-dimensional phase space of relativistic particles in strong fields
• A relativistic particle pusher for ultra-strong electromagnetic fields
• Gigavolt bound-free transitions driven by extreme light
• Extreme Nonlinear Dynamics in Vacuum Laser Acceleration with a Crossed Beam Configuration

Cited by in corpus (8)

• Nonlinear Thomson scattering with ponderomotive control
• Accurately simulating nine-dimensional phase space of relativistic particles in strong fields
• Particle acceleration and radiation reaction in a strongly magnetized rotating dipole
• Particle integrator for particle-in-cell simulations of ultra-high intensity laser-plasma interactions
• An Analytic Boris Pusher for Plasma Simulation
• Particle acceleration and radiation reaction in strong spherical electromagnetic waves
• Particle motion in neutron stars ultra-strong electromagnetic field: the influence of radiation reaction
• Dominance of $\gamma$-$\gamma$ electron-positron pair creation in a plasma driven by high-intensity lasers