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Persistent URL
http://purl.org/net/epubs/work/64439
Record Status
Checked
Record Id
64439
Title
Fast, accurate calculation of dynamical maps from magnetic field data using generalised gradients
Contributors
D Newton (Cockcroft Inst., and Liverpool Univ.)
,
A Wolski (Cockcroft Inst., and Liverpool Univ.)
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
Funding Information
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Language
English (EN)
Type
Details
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Year
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
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