Equilibrium phase-space distributions and space charge limits in linacs

Technical Report · Sat Oct 01 04:00:00 EDT 1977

DOI:https://doi.org/10.2172/5334190· OSTI ID:5334190

Lysenko, W P

Limits on beam current and emittance in proton and heavy ion linear accelerators resulting from space charge forces are calculated. The method involves determining equilibrium distributions in phase space using a continuous focusing, no acceleration, model in two degrees of freedom using the coordinates r and z. A nonlinear Poisson equation must be solved numerically. This procedure is a matching between the longitudinal and transverse directions to minimize the effect of longitudinal-transverse coupling which is believed to be the main problem in emittance growth due to space charge in linacs. Limits on the Clinton P. Anderson Meson Physics Facility (LAMPF) accelerator performance are calculated as an example. The beam physics is described by a few space charge parameters so that accelerators with different physical parameters can be compared in a natural way. The main result of this parameter study is that the requirement of a high-intensity beam is best fulfilled with a low-frequency accelerator whereas the requirement of a high-brightness beam is best fulfilled with a high-frequency accelerator.

• Research Organization: Los Alamos Scientific Lab., N.Mex. (USA)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 5334190
• Report Number(s): LA-7010-MS
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
ACCELERATORS
BEAM CURRENTS
BEAM DYNAMICS
BEAM EMITTANCE
CURRENTS
CYCLIC ACCELERATORS
DIFFERENTIAL EQUATIONS
EQUATIONS
LAMPF LINAC
LINEAR ACCELERATORS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MESON FACTORIES
NUMERICAL SOLUTION
PHASE SPACE
POISSON EQUATION
SPACE
SPACE CHARGE