Title :
An analytical approach to the Poisson equation in 3-dimensional space charge problems
Author :
Valero, S. ; Lapostolle, P. ; Lombardi, A.M. ; Pichoff, N. ; Tanke, E.
Author_Institution :
CEA, Centre d´´Etudes Nucleaires de Saclay, Gif-sur-Yvette, France
Abstract :
The problem of electrostatics repulsion between charged particles in a bunch is a classical mixed Dirichlet-Neumann problem. In this paper, an analytical solution of this problem is described. The approach proposed here can be extended to other problems in mathematical physics
Keywords :
Poisson equation; electrostatics; particle beam bunching; space charge; 3D space charge problems; Poisson equation; analytical approach; bunch; charged particles; classical mixed Dirichlet-Neumann problem; electrostatics repulsion; Density functional theory; Electrostatics; Extraterrestrial measurements; Particle accelerators; Particle beams; Physics; Poisson equations; Region 1; Space charge; Statistical distributions;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.794284
