Title :
The modeling of charged particle interactions in the elliptic beam
Author :
Kozynchenko, Vladimir A.
Author_Institution :
St.-Peterburg State Univ., St. Petersburg, Russia
fDate :
June 30 2014-July 4 2014
Abstract :
In this paper the mathematical model of the longitudinally non-uniform elliptic beam is presented. The trigonometric polynomial is proposed to model the charged particle beam density function. Analytical formulae for beam field intensity are proposed as a result of solving the boundary value problem for Poisson equation.
Keywords :
Poisson equation; boundary-value problems; particle beam dynamics; polynomials; Poisson equation; analytical formulae; beam field intensity; boundary value problem; charged particle beam density function; charged particle interactions; longitudinally nonuniform elliptic beam; mathematical model; trigonometric polynomial; Boundary value problems; Educational institutions; Mathematical model; Optimization; Particle beams; Poisson equations; Polynomials;
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.2014.6890040
