Simulation of Intense Particle Beams with Regularly Distributed Gaussian Subbeams
AbstractTechniques for the simulation of intense particle beams are investigated with respect
to the required number of simulation particles. It is shown that for nonchaotic systems
it is advantageous if the particles initially are not distributed in a statistical
manner but rather arranged in a regular pattern in phase space. This reduces the number of
required simulation particles drastically. In the case of such an initially regular
arrangement of particles the algorithm which assigns the charges of the particles to the
computation mesh becomes of prime importanc. The performances of different commonly used
algorithms are investigated. The Gaussian assignment algorithm proved far superior to
other more commonly used techniques, allowing simulations even at the theoretical limit
of one particle per cell. Examples for very accurate simulations of beam dynamics with
very few particles using an initially regular mesh of particles and Gaussian assignment
M. Berz, H. Wollnik, Nuclear Instruments and Methods A267 (1988) 25-34
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