Ellipsoid Space Charge Model for Electron Beam Dynamics Simulationsстатья
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Дата последнего поиска статьи во внешних источниках: 7 июля 2021 г.
Аннотация:The pulsed beam current in linear accelerators can approach significant values up to tens ofAmperes. Such high currents cause many specific adverse effects in the accelerators. One of such effects is therepelling forces of the space charge as they become comparable to the forces of the electromagnetic accelerating fields, and can influence the stability of phase and radial particle motion. In the numerical analysis ofthe beam dynamics in linear accelerators, it is necessary to choose one of the different space charge modelsdepending on the desired accuracy, complexity, speed and computer resources availability. The most accurateresults are achieved by the numerical solution of the Poisson equation. However, this method may require significant resources and time and may not be suitable when fast analysis is required in the linac design stages.Analytical methods, on the other hands, base on the analytical solution of Poisson equations for the predefined shape of the particles distribution inside the beam. One of the most popular analytical space chargemodels is the ellipsoidal beam approximations. Despite being a well-developed model, many publishedapproaches lack some important features as fully three-dimensional ellipsoid asymmetry and multi-bunchmodel. In this paper, we will derive the equations of the space charge field for the full-3D non-relativisticellipsoid bunch step by step, starting from the Poisson equation, and compare this model with the otherknown models.