Title :
Transverse nonlinear focusing of nonstationary space charge dominated beams
Author_Institution :
ISIR, Minsk, Byelorussia
Abstract :
The general analytical and numerical scheme to calculate the parameters of high intensity beam being transported is considered. Nonlinearities of external fields and space charge are taken into account. The matching conditions for a beam and focusing system aren´t required. The Lie algebraic technique was applied to derive the dynamics and the field equations selfconsistently. The distribution function and the macroscopic parameters of a beam at any transport channel cross-section were calculated in the framework of the Heisenberg picture in statistical mechanics. The computer code was carried out and verified. Test results are represented
Keywords :
Lie algebras; high energy physics instrumentation computing; numerical analysis; particle beam dynamics; particle beam focusing; space charge; Heisenberg picture; Lie algebraic technique; analytical scheme; beam dynamics; computer code; distribution function; field equations; high intensity beam; matching conditions; nonstationary space charge dominated beams; numerical scheme; transport channel cross-section; transverse nonlinear focusing; Distribution functions; Electromagnetic fields; Nonlinear dynamical systems; Nonlinear equations; Particle beams; Plasma transport processes; Space charge; Symmetric matrices; Testing; Vehicle dynamics;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.794287
