Numerical methods for simulation of high-intensity hadron synchrotrons

Luccio, A.; D’Imperio, Nicholas; Malitsky, N.

doi:10.1016/j.nima.2006.01.037

Cited by 2 publications

(2 citation statements)

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“…Numerical simulations of charged particle beams using the Vlasov-Maxwell equations have become an indispensable tool to analyze long-pulse accelerator systems with high space-charge intensity [1][2][3][4][5][6][7][8][9][10][11]. Analytical theory can become very cumbersome for realistic investigations of systems with strong space-charge forces.…”

Section: Introductionmentioning

confidence: 99%

Generation of initial kinetic distributions for simulation of long-pulse charged particle beams with high space-charge intensity

Lund

Kikuchi

Davidson

2009

Phys. Rev. ST Accel. Beams

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Self-consistent Vlasov-Poisson simulations of beams with high space-charge intensity often require specification of initial phase-space distributions that reflect properties of a beam that is well adapted to the transport channel-both in terms of low-order rms (envelope) properties as well as the higher-order phasespace structure. Here, we first review broad classes of kinetic distributions commonly in use as initial Vlasov distributions in simulations of unbunched or weakly bunched beams with intense space-charge fields including the following: the Kapchinskij-Vladimirskij (KV) equilibrium, continuous-focusing equilibria with specific detailed examples, and various nonequilibrium distributions, such as the semi-Gaussian distribution and distributions formed from specified functions of linear-field Courant-Snyder invariants. Important practical details necessary to specify these distributions in terms of standard accelerator inputs are presented in a unified format. Building on this presentation, a new class of approximate initial kinetic distributions are constructed using transformations that preserve linear focusing, single-particle Courant-Snyder invariants to map initial continuous-focusing equilibrium distributions to a form more appropriate for noncontinuous focusing channels. Self-consistent particle-in-cell simulations are employed to show that the approximate initial distributions generated in this manner are better adapted to the focusing channels for beams with high space-charge intensity. This improved capability enables simulations that more precisely probe intrinsic stability properties and machine performance.

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Section: Introductionmentioning

confidence: 99%

Generation of initial kinetic distributions for simulation of long-pulse charged particle beams with high space-charge intensity

Lund

Kikuchi

Davidson

2009

Phys. Rev. ST Accel. Beams

View full text Add to dashboard Cite

show abstract

“…A preliminary test of the software was done by comparing the tune shift of the particles in the simulation and the corresponding tune shift predicted by [6]:…”

Section: Beam Simulations In Simbadmentioning

confidence: 99%