| Title |
Space of Motion Integrals in Problems on Self-consistent Charged Particle Distributions |
| Authors |
- O.I. Drivotin, D.A. Ovsyannikov
St. Petersburg State University, St. Petersburg, Russia
|
| Abstract |
A new approach for investigation of self-consistent distributions for charged particle beam in magnetic field is presented. According to this approach, the space of motion integrals is introduced. Specifying charged particles density in the space of motion integrals provides a self-consistent distribution for charged particle beam under some conditions, which are formulated. This approach allows simple graphical representation of various distributions by means of a special diagram. Such approach gives a possibility to construct new solutions of the Vlasov equation for charged particle beam. For example, taking linear combinations of known solutions for uniformly charged beam, one can get new solutions. New solutions can be found also with use of solutions of an integral equation, which includes some degenerate distributions. Many known distributions can be analyzed within the framework of this approach, for example, the 'water bag' distribution. Such approach is valid equally for longitudinally uniform beam, and for axially symmetric beam with varying cross-section radius.
|
| Funding |
St.-Petersburg State University, grant# 9.38.673.2013 |
| Paper |
download FRBJI1.PDF [0.286 MB / 6 pages] |
| Conference |
ICAP2015, Shanghai, China |
| Series |
International Computational Accelerator Physics Conference (12th) |
| Proceedings |
Link to full ICAP2015 Proccedings |
| Session |
Motion Integrals and Long-term Simulation/Closing Session |
| Date |
16-Oct-15 10:45–12:15 |
| Main Classification |
B-1 Beam Dynamics Simulation |
| Keywords |
distributed, focusing, electron, plasma, simulation |
| Publisher |
JACoW, Geneva, Switzerland |
| Editors |
Kwok C. Ko (SLAC, Menlo Park, CA, USA); Volker R.W. Schaa (GSI, Darmstadt, Germany); Chuanxiang Tang (Tsinghua University, Beijing, China); Heping Yan (SINAP, Shanghai, China) |
| ISBN |
978-3-95450-136-6 |
| Published |
February 2016 |
| Copyright |
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