| Paper | Title | Page |
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| TH6PFP099 | Fast, Accurate Calculation of Dynamical Maps from Magnetic Field Data Using Generalised Gradients | 3943 |
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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. *Venturini M. and Dragt A., NIM Phys. Res. Sect. A, 427, 387 (1999) |
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| FR5PFP093 | Applications of a New Code to Compute Transfer Maps and Describe Synchrotron Radiation | 4520 |
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An analytic tracking code has been developed to describe an arbitrary magnetic field in terms of its generalised gradients* and multipole expansion, which is used with a 2nd-order symplectic integrator** to calculate dynamical maps for particle tracking. The modular nature of the code permits a high degree of flexibility and allows customised modules to be integrated within the code framework. Several different applications are presented, and the speed, accuracy and flexibility of the algorithms are demonstrated. A module to simulate synchrotron emission is described and its application to an 'ILC-type' undulator system is demonstrated. *Venturini M. and Dragt A., NIM Phys. Res. Sect. A, 427, 387 (1999) |
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| FR5PFP093 | Applications of a New Code to Compute Transfer Maps and Describe Synchrotron Radiation | 4520 |
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An analytic tracking code has been developed to describe an arbitrary magnetic field in terms of its generalised gradients* and multipole expansion, which is used with a 2nd-order symplectic integrator** to calculate dynamical maps for particle tracking. The modular nature of the code permits a high degree of flexibility and allows customised modules to be integrated within the code framework. Several different applications are presented, and the speed, accuracy and flexibility of the algorithms are demonstrated. A module to simulate synchrotron emission is described and its application to an 'ILC-type' undulator system is demonstrated. *Venturini M. and Dragt A., NIM Phys. Res. Sect. A, 427, 387 (1999) |