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Mathematical Methods of Optimization for Charged Particle Beams.
- Source :
- Nonlinear Studies; 2007, Vol. 14 Issue 4, p319-324, 6p
- Publication Year :
- 2007
-
Abstract
- A nonlinear dynamics problem is considered in the framework of a self-consistent evolution of a charged particle beam distribution and a self-generated electric field. A concept from optimal control theory is employed for studying properties of the Vlasov-Poisson equation (VPE). It makes it possible to reduce the focusing and acceleration problem to an optimal control problem. We focus on a case when a nonlinear ordinary differential equation associated with VPE does not meet an integrability condition. In this paper it is shown that, in this case, the density distribution function over a phase space can be estimated using L-moment technique. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13598678
- Volume :
- 14
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Nonlinear Studies
- Publication Type :
- Academic Journal
- Accession number :
- 28525130