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Longitudinal Space Charge Effects in Particle Accelerators

Journal Article · · Review of Scientific Instruments
DOI:https://doi.org/10.1063/1.1716495· OSTI ID:12706271
 [1];  [1]
  1. The Ohio State Univ., Columbus, OH (United States); Midwestern Universities Research Association (MURA), Madison, WI (United States)
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Here, the modification of the single particle theory of particles subject to radio-frequency acceleration caused by electrostatic repulsion between particles is calculated. With the aid of an appropriate Hamiltonian the Boltzmann equation is reduced to a one-dimensional integral equation for the case of a uniform particle density in a limited region of phase space. For a range of parameters that includes most accelerators, this equation is approximated by an algebraic equation, and an analytic solution valid below the transition energy is obtained. Computations are given of the 'longitudinal space charge limit,'' as well as the effect of space charge on the azimuthal bunching of a beam by an accelerating cavity. Numerical examples of these two effects are given.

Research Organization:
Midwestern Universities Research Association (MURA), Madison, WI (United States); The Ohio State Univ., Columbus, OH (United States)
Sponsoring Organization:
US Atomic Energy Commission (AEC)
OSTI ID:
12706271
Alternate ID(s):
OSTI ID: 4291894
Report Number(s):
MURA--413
Journal Information:
Review of Scientific Instruments, Journal Name: Review of Scientific Instruments Journal Issue: 2 Vol. 30; ISSN 0034-6748
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (7)

Note on Exchange Phenomena in the Thomas Atom journal July 1930
Beam Stacking Experiments in an Electron Model FFAG Accelerator journal December 1957
Two‐Beam Fixed Field Alternating Gradient Accelerator journal February 1958
Fixed-Field Alternating-Gradient Particle Accelerators journal September 1956
The Acceleration of Electrons by Magnetic Induction journal July 1941
The Synchrotron—A Proposed High Energy Particle Accelerator journal September 1945
Radiation Losses in the Induction Electron Accelerator journal February 1946

Cited By (1)

Helical undulator based on partial redistribution of uniform magnetic field journal December 2017

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43 PARTICLE ACCELERATORS