Title :
Application of differential-and-Lie algebraic techniques to the orbit dynamics of cyclotrons
Author :
Davies, W.G. ; Douglas, S.R. ; Pusch, G.D. ; Lee-Whiting, G.E.
Author_Institution :
AECL, Chalk River Lab., Ont., Canada
Abstract :
An orbit-dynamics code, DACYC, is being developed for the TASCC superconducting cyclotron. DACYC makes use of differential algebra and Lie algebra to calculate and analyze partial, one and/or multiturn maps to very high order. Accurate, three-dimensional, analytic models of the magnetic and RF fields, which satisfy Maxwell´s equations exactly are used. The maps can be analyzed with normal-form methods or to produce linear or high-order phase-space plots.<>
Keywords :
Lie algebras; cyclotrons; particle beam diagnostics; physics computing; DACYC; Lie algebra; TASCC superconducting cyclotron; differential algebra; multiturn maps; orbit-dynamics code; phase-space plots; Algebra; Coils; Cyclotrons; Laboratories; Magnetic analysis; Magnetic fields; Maxwell equations; Orbital calculations; Rivers; Trajectory;
Conference_Titel :
Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE
Conference_Location :
San Francisco, CA, USA
Print_ISBN :
0-7803-0135-8
DOI :
10.1109/PAC.1991.164282
