Approximating nonlinear forces with phase-space decoupling

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Approximating nonlinear forces with phase-space decoupling. / Folsom, B.; Laface, E.

I: Journal of Physics: Conference Series, Vol. 874, Nr. 1, 012070, 20.07.2017.

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TY - JOUR

T1 - Approximating nonlinear forces with phase-space decoupling

AU - Folsom, B.

AU - Laface, E.

PY - 2017/7/20

Y1 - 2017/7/20

N2 - 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 0) where x 0 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.

AB - 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 0) where x 0 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.

U2 - 10.1088/1742-6596/874/1/012070

DO - 10.1088/1742-6596/874/1/012070

M3 - Article

VL - 874

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6596

IS - 1

M1 - 012070

ER -