Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1833412 | Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment | 2006 | 4 Pages |
Abstract
Harmonic tracking is a method used to study non-linear particle dynamics in a circular accelerator. The tracking algorithm is based on numerical solution of the Hamilton equations of motion. An essential feature of the method is the approximation of Hamiltonian perturbation terms by a finite number of azimuthal harmonics, which provides an effective tool for optimization of non-linear particle motion. The equations of motion are solved canonically, with the first-order prediction made using the explicit Lie transformation. The major features of harmonic tracking are presented and examples of its application are discussed.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Instrumentation
Authors
V. Kvardakov, E. Levichev,