Intense quasiperiodic beam dynamics in accelerating system: mathematical model and optimization method

The paper is devoted to quasiperiodic intense beam dynamics is accelerating system. Particle interaction accounting is conducted with the use of well-known cloud-in-cell method. This numerical method is formalized, and mathematical model of space charge field intensity is suggested. Coulomb field in...

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Bibliographic Details
Published in:Journal of physics. Conference series 2017-12, Vol.941 (1), p.12092
Main Authors: Rubtsova, I D, Ovsyannikov, D A
Format: Article
Language:English
Subjects:
Differential equations
Dynamics
Integrals
Mathematical analysis
Mathematical models
Numerical methods
Optimization
Particle interactions
Physics
Space charge
Trajectory control
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Summary:The paper is devoted to quasiperiodic intense beam dynamics is accelerating system. Particle interaction accounting is conducted with the use of well-known cloud-in-cell method. This numerical method is formalized, and mathematical model of space charge field intensity is suggested. Coulomb field intensity is presented in the form of integral over the domain of particle phase states. This permits beam evolution to be described by integro-differential equations. Controlled process quality is characterized by integral functional values. Beam dynamics optimization problem is formulated as trajectory ensemble control problem for dynamic system. Analytical expression of quality functional variation is obtained. It makes possible directed methods using for beam dynamics optimization.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/941/1/012092