Paper 
Title 
Page 
WEPOY041 
Fast Tracking of Nonlinear Dynamics in the ESS Linac Simulator via ParticleCount Invariance 
3080 
SUPSS063 


 B.T. Folsom, E. Laface
ESS, Lund, Sweden



Realtime beam modeling has been used in accelerator diagnostics for several decades. Along the way, the theory for matrix calculations of linear forces has matured, allowing for fast calculations of a beam's momentum and position distributions. This formalism becomes complicated and ultimately breaks down with highorder beam elements like sextupoles. Such elements can be accurately modeled with a Liealgebra approach, but these techniques are generally implemented in slower, offline multiparticle tracking software. Here, we demonstrate an adaptation of the conventional Lie techniques for rapid firstorder tracking of position, which is accomplished by treating a bunch's particle count as an invariant.


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※ DOI:10.18429/JACoWIPAC2016WEPOY041


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