Title :
Integral-differential model of quasi-periodic beam longitudinal dynamics
Author :
Rubtsova, Irina D.
Author_Institution :
St. Petersburg State Univ., St. Petersburg, Russia
fDate :
June 30 2014-July 4 2014
Abstract :
Longitudinal dynamics of quasi-periodic axial-symmetric beam is considered. Space charge density is simulated by trigonometric polynomial. The coefficients of this polynomial are expressed in terms of coordinates and velocities of model particles. Beam evolution with particle interaction account is described by the system of integral-differential equations.
Keywords :
axial symmetry; differential equations; integral equations; particle beam dynamics; space charge; beam evolution; integral-differential equations; integral-differential model; particle interaction; quasiperiodic axial- symmetric beam; quasiperiodic beam longitudinal dynamics; space charge density; trigonometric polynomial; Educational institutions; Interpolation; Mathematical model; Particle beams; Polynomials; 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.2014.6890071
