We present a study of intra-beam scattering (IBS) in high-brightness electron beams, incorporating a recent theory that accounts for enhanced temporal correlations of electric field fluctuations. These correlations, absent in conventional binary-collision models, arise from the periodic betatron motion of particles within the beam. To enable direct verification of the theoretical calculations, we perform simulations in a computer code specifically written for that purpose. In the code, the particle distribution is preserved over time, ensuring conditions compatible with theoretical assumptions, and the IBS is neatly separated from the conventional Space Charge (SC) effect. The simulations, benchmarked against an exactly solvable case of an infinite isotropic uniform plasma, show good agreement with both uncorrelated models, such as Piwinski’s, and the new correlation-based theory, across various bunch distributions and dynamical regimes. This validates the simulation approach and highlights the role of time-correlated fields in accurate IBS modeling.
Stupakov et al. (Thu,) studied this question.