Paper | Title | Page |
---|---|---|
MOPP135 | Exact Solutions of the Vlasov Equation in Magnetic Field | 377 |
|
||
Funding: This work was supported by St.-Petersburg State University grant #9.38.673.2013. This report is devoted to self-consistent distributions for charged particle beam which are regarded as solutions of the Vlasov equation. New approach based on covariant formulation of the Vlasov equation* is developed. Such approach allows using various coordinates in the phase space. It is shown how to apply this approach to the problem of finding of solutions of the Vlasov equation for charged particle beam. Solutions obtained within the framework of this approach are presented. Most known example is the Kapchinsky-Vladimirsky distribution. Wide classes of distributions for uniformly charged beam are also considered. * O.I. Drivotin. Covariant formulation of the Vlasov equation. Proc. of 2011 Int. Part. Acc. Conf.(IPAC'2011), San-Sebastian, Spain, 2011. accelconf.web.cern.ch/accelconf/ipac2011/papers/wepc114.pdf |
||
TUPP130 | Optimization of Beam Parameters in APF Channel | 722 |
SUPG035 | use link to see paper's listing under its alternate paper code | |
|
||
A new approach based on mathematical optimization methods to obtain a synchronous phase sequence in APF linacs is suggested. The optimization problem of intensity deuteron beam parameters is discussed. As an example, the results of beam dynamics simulations are presented. | ||