Three dimensional space charge calculation method
Abstract
A method is presented for calculating space charge forces suitable for use in a particle tracing code. Poisson's equation is solved in three dimensions with boundary conditions specified on an arbitrary surface by using a weighted residual method. Using a discrete particle distribution as our source input, examples are shown of off-axis, bunched beams of noncircular crosssection in radio-frequency quadrupole and drift tube linac geometries.
- Publication:
-
Presented at the Particle Accelerator Conf
- Pub Date:
- February 1981
- Bibcode:
- 1981paac.conf...11L
- Keywords:
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- Particle Accelerators;
- Poisson Equation;
- Space Charge;
- Boundary Conditions;
- Boundary Value Problems;
- Mathematical Models;
- Particle Density (Concentration);
- Electronics and Electrical Engineering