A 3D Model for Ion Beam Formation and Transport Simulation Page: 1 of 14
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A 3D Model for Ion Beam Formation and Transport Simulation
J. Qiang, D. Todd, and D. Leitner
Lawrence Berkeley National Laboratory,
Berkeley, CA 94720
In this paper, we present a three-dimensional model for self-consisently model-
ing ion beam formation from plasma ion sources and transporting in low energy
beam transport systems. A multi-section overlapped computational domain has
been used to break the original transport system into a number of weakly coupled
subsystems. Within each subsystem, macro-particle tracking is used to obtain
the charge density distribution in this subdomain. The three-dimensional Poisson
equation is solved within the subdomain after each particle tracking to obtain the
self-consistent space-charge forces and the particle tracking is repeated until the
solution converges. Two new Poisson solvers based on a combination of the spec-
tral method and the finite difference multigrid method have been developed to
solve the Poisson equation in cylindrical coordinates for the straight beam trans-
port section and in Frenet-Serret coordinates for the bending magnet section.
This model can have important application in design and optimization of the low
energy beam line optics of the proposed Rare Isotope Accecelerator (RIA) front
The RIA linac driver requires a great variety of high charge state, high intensity ion beams from
the Electron Cyclotron Resonance (ECR) ion sources. This presents a strong challenge not only for
the design of the ECR ion sources but also for the design of low energy beam transport (LEBT) sys-
tems. Computational tools help to explore a wide range of parameter space, to identify the particle
loss conditions, and to optimize the system design and operation. A number of simulation tools
have been developed in the past years to study the ion beam formation from ECR ion sources [1-4].
However, these tools used successive over-relaxation (SOR) method, to calculate the space-charge
forces (by solving the Poisson equation) during the ion beam formation. The convergence rate of
the SOR method decreases dramatically as the mesh size gets finer and the number of grid points
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Qiang, J.; Todd, D. & Leitner, D. A 3D Model for Ion Beam Formation and Transport Simulation, article, February 7, 2006; Berkeley, California. (https://digital.library.unt.edu/ark:/67531/metadc893549/m1/1/: accessed March 23, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.