Mathematical Methods of Optimization for Charged Particle Beams

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Abstract

A nonlinear dynamics problem is considered in the framework of a selfconsistent 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.

Published

2007-11-01

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Articles

How to Cite

Mathematical Methods of Optimization for Charged Particle Beams. (2007). Nonlinear Studies, 14(4). https://nonlinearstudies.com/index.php/nonlinear/article/view/321