Hybrid macro-particle moment accelerator tracking algorithm
Date
2020-08-27
Authors
Jung, Paul Matthew
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Abstract
A particle accelerator simulation which straddles the gap between multi-particle and moment codes is derived. The hybrid approach represents the
beam using macro-particles which contain discrete longitudinal coordinates
and transverse second moments. The discretization scheme for the macro-particles is derived using variational principles, as a natural extension of well
known variational approaches. This variational discretization allows for exact
transverse emittance conservation. The electrostatic self-potential is discrete
in the longitudinal direction and solved semi-analytically in the transverse
direction using integrated Green’s functions. The algorithm is implemented
and tested against both a moment and multi-particle code.
Description
Keywords
Particle Accelerator, Simulation, variational principles