Approximating Nonlinear Forces with Phase-Space Decoupling
- Resource Type
- Working Paper
- Authors
- Folsom, Ben; Laface, Emanuele
- Source
- Subject
- Physics - Accelerator Physics
- Language
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.