DocumentCode
1798597
Title
The modeling of charged particle interactions in the elliptic beam
Author
Kozynchenko, Vladimir A.
Author_Institution
St.-Peterburg State Univ., St. Petersburg, Russia
fYear
2014
fDate
June 30 2014-July 4 2014
Firstpage
1
Lastpage
2
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Beam Dynamics and Optimization (BDO), 2014 20th International Workshop on
Conference_Location
St. Petersburg
Print_ISBN
978-1-4799-5319-6
Type
conf
DOI
10.1109/BDO.2014.6890040
Filename
6890040
Link To Document