Introduction

Assumptions

This is a work-in-progress list of physical assumptions implemented in the numerics of ImpactX.

Tracking and Lattice Optics

  • tracking through lattice optics: is treated through linear order with respect to the reference particle

    • velocity spread: the above linearization implies that, when solving space-charge effects, we assume that the relative spread of velocities of particles in the beam is negligible compared to the velocity of the reference particle

Space Charge (Poisson Solver)

  • electrostatic in the bunch frame: we assume there are no retardation effects and we solve the Poisson equation in the bunch frame