Title :
Analysis of beam loading in electrostatic columns
Author :
Caporaso, George J. ; Barnard, J.J.
Author_Institution :
Lawrence Livermore Nat. Lab., Livermore, CA, USA
Abstract :
A lumped element circuit model is derived which accounts for both electric and magnetic coupling of the beam to the electrodes and drive circuitry of an electrostatic column. A modified one dimensional Poisson equation which incorporates two dimensional effects is discussed. An effective capacitance between the beam and the column electrodes which affects the electric coupling is estimated. Simple analytic cases which treat electric and magnetic coupling separately are solved and compared against a numerical simulation. Scaling laws are given for the magnitude of the beam loading
Keywords :
beam handling techniques; particle beam diagnostics; beam loading; effective capacitance; electric coupling; electrostatic columns; lumped element circuit model; magnetic coupling; modified one dimensional Poisson equation; scaling laws; two dimensional effects; Capacitance; Coupling circuits; Electrodes; Electrostatic analysis; Magnetic analysis; Magnetic circuits; Magnetic separation; Numerical simulation; Optical coupling; Poisson equations;
Conference_Titel :
Particle Accelerator Conference, 1993., Proceedings of the 1993
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-1203-1
DOI :
10.1109/PAC.1993.308811
