6th Int. Particle Accelerator Conf. (IPAC'15), Richmond, VA, USA, May 3-8, 2015, Jun 1, 2015
In the early design stages it is customary to work with a highly simplified analytic model to des... more In the early design stages it is customary to work with a highly simplified analytic model to describe a beamline. Dipoles and quadrupoles are often based on hard-edged approximations. This is not only unrealistic, it also significantly slows down time-domain spacecharge tracking codes such as the General Particle Tracer (GPT) code. The underlying reason for the poor performance is that, despite the fact that the simple hard-edged field equations are fast to evaluate, they force the integration process to use excessively small step sizes near the field discontinuities in order to achieve the desired accuracy. In other words, the apparently simple equations turn out to be the most difficult ones to evaluate numerically. An obvious solution is to switch to field-maps, but this is not practical in the early design stages. In this contribution we show a new solution implemented in the GPT code based on analytical expressions for the fringes where the transverse size of the magnet is properly taken into account. In addition to producing more realistic results, the smooth fields increase tracking speed by over an order of magnitude for typical cases.
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Papers by Bruno Muratori