Application of the Fourier series for particle dynamics simulation in the periodic magnetic fields
| Autor: | O. E. Shishanin |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Physics
Nuclear and High Energy Physics Radiation Field (physics) Differential equation Mathematical analysis Synchrotron radiation Atomic and Molecular Physics and Optics Magnetic field Set (abstract data type) Particle dynamics Radiology Nuclear Medicine and imaging Perturbation theory Fourier series |
| Zdroj: | Physics of Particles and Nuclei Letters. 12:443-447 |
| ISSN: | 1531-8567 1547-4771 |
| DOI: | 10.1134/s1547477115030218 |
| Popis: | Given methods emerged in the solution of synchrotron radiation problem in cyclic accelerators [1]. It was necessary to find a set of differential equations for entire closed orbit instead of description for separate sections. The best approach turned out to be an expansion of the magneti field gradient or components in the Fourier series. To solve the resulting differential equations with periodic coefficients the averaging theory had to be extended to the third and fourth orders of accuracy. In addition, an original procedure was found within the perturbation theory which yielded the same results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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