Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

Longitudinal Space Charge Effects in Particle Accelerators

Journal Article · · Rev. Sci. Instr.
DOI:https://doi.org/10.1063/1.1716495· OSTI ID:4291894
;
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:
Ohio State Univ., Columbus; and Midwestern Universities Research Assn., Madison, Wis.
Sponsoring Organization:
USDOE
NSA Number:
NSA-13-009080
OSTI ID:
4291894
Journal Information:
Rev. Sci. Instr., Journal Name: Rev. Sci. Instr. Vol. Vol: 30
Country of Publication:
Country unknown/Code not available
Language:
English

References (7)

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

Cited By (1)

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

Similar Records

Longitudinal Space Charge Effects in Particle Accelerators
Journal Article · Sat Jan 31 19:00:00 EST 1959 · Review of Scientific Instruments · OSTI ID:12706271
Space-charge limits in linear accelerators
Technical Report · Sun Nov 30 23:00:00 EST 1980 · OSTI ID:6742291
Longitudinal dynamics in storage rings
Conference · Tue Dec 31 23:00:00 EST 1985 · OSTI ID:5453619

Related Subjects

ACCELERATORS
BOLTZMANN EQUATION
DENSITY
DIFFERENTIAL EQUATIONS
ELECTROSTATICS
EQUATIONS
HAMILTONIAN
INTEGRALS
INTERACTIONS
NUMERICALS
PARTICLE ACCELERATORS AND HIGH-VOLTAGE MACHINES
RADIO WAVES