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arXiv · 1701.02812

Approximating Nonlinear Forces with Phase-Space Decoupling

Ben Folsom·Emanuele Laface
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Abstract

Beam tracking software for accelerators typically falls into two categories: fast envelope simulations limited to linear beam optics, and slower multiparticle simulations that can model nonlinear effects. To find a middle ground between these approaches, we introduce virtual coordinates in position and momentum which have a cross-dependency (i.e. p=f(x) where x is an initial position and p* is a virtual projection of momentum onto the position axis). This technique approximates multiparticle simulations with a significant reduction in calculation cost.

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Ben Folsom, Emanuele Laface. 2017-01-10. Approximating Nonlinear Forces with Phase-Space Decoupling. https://doi.org/10.1088/1742-6596/874/1/012070

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