New SC Algorithm for MAD-X

Technical Report · Mon Oct 29 00:00:00 EDT 2018

DOI:https://doi.org/10.2172/1501445· OSTI ID:1501445

Alexahin, Y. ^[1]; Schmidt, F. ^[2]

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1. Fermilab, Batavia, IL (United States)
2. European Organization for Nuclear Research (CERN), Geneva (Switzerland)

MAD-X allows to simulate space-charge effects by approximating the macroparticle ensemble with a Gaussian distribution and using analytic formulas for calculation of the space-charge kick at locations which should be chosen in advance e.g. with V. Kapin’s external code. The new MAD-X version features two innovations: a symplectic three-dimensional space-charge kick and Gaussian fit of particle distribution which – in principle – does not require a linearly stable closed optics to exist thus permitting simulations studies of the parametric resonance stopband crossing. It also allows for non stationary distribution so that envelope resonances can be simulated.

• Research Organization: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Contributing Organization: PIP+
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 1501445
• Report Number(s): FERMILAB-TM-2688-APC; 1724796
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
MAD-X
General Accelerator Theory
Beam Optics