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Persistent URL http://purl.org/net/epubs/work/64439
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Record Id 64439
Title Fast, accurate calculation of dynamical maps from magnetic field data using generalised gradients
Abstract Analytic descriptions of arbitrary magnetic fields can be calculated from the generalised gradients of the on-axis field. Using magnetic field data, measured or computed on the surface of a cylinder, the generalised gradients can be calculated by solving Laplace's equation to find the three-dimensional multipole expansion of the field within the cylinder. After a suitable transformation, this description can be combined with a symplectic integrator allowing the transfer map to be calculated. A new tracking code is under development in C++, which makes use of a differential algebra class to calculate the transfer map. The code has been heavily optimised to give a fast, accurate calculation of the transfer map for an arbitrary field. The multipole nature of the field description gives additional insights into fringe-field and pseudo-multipole effects and allows a deeper understanding of the beam dynamics.
Organisation CI
Keywords Physics
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Language English (EN)
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Paper In Conference Proceedings In 23rd Particle Accelerator Conference (PAC09), Vancouver, Canada, 4-8 May 2009, Cockcroft-09-48 (2009). Cockcroft-09-48.pdf 2009