Title :
Automation of the matrix formalism the field equations and equations of motion
Author :
Andrianov, Serge N. ; Kirsanov, Alexander V.
Author_Institution :
St. Petersburg State Univ., St. Petersburg, Russia
fDate :
June 30 2014-July 4 2014
Abstract :
In this paper we are considering the problem of automated construction of symbolic representations of objects needed for modeling (analytical and numerical) control systems for charged particle beams. The basis of the approach is the matrix formalism for Lie algebraic methods describing the evolution of the particle beam as a collective object in the nonlinear electromagnetic fields.
Keywords :
Lie algebras; beam handling techniques; control systems; field equations; Lie algebraic method; automated symbolic object representations construction; charged particle beam; collective object; equation-of-motion; field equation; matrix formalism; matrix formalism automation; modeling control system; nonlinear electromagnetic field; particle beam evolution; Electromagnetics; Equations; Mathematical model; Particle accelerators; Particle beams; Structural beams; Vectors;
Conference_Titel :
Beam Dynamics and Optimization (BDO), 2014 20th International Workshop on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-5319-6
DOI :
10.1109/BDO.2014.6889995
