Space-charge limits in linear accelerators
This report presents equations that allow an approximate evaluation of the limiting beam current for a large class of radio-frequency linear accelerators, which use quadrupole strong focusing. Included are the Alvarez, the Wideroe, and the radio-frequency quadrupole linacs. The limiting-current formulas are presented for both the longitudinal and the transverse degrees of freedom by assuming that the average space-charge force in the beam bunch arises from a uniformly distributed charge within an azimuthally symmetric three-dimensional ellipsoid. The Mathieu equation is obtained as an approximate, but general, form for the transverse equation of motion. The smooth-approximation method is used to obtain a solution and an expression for the transverse current limit. The form of the current-limit formulas for different linac constraints is discussed.
- Research Organization:
- Los Alamos Scientific Lab., NM (USA)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 6742291
- Report Number(s):
- LA-8388
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
ACCELERATORS
BEAM BUNCHING
BEAM CURRENTS
BEAM DYNAMICS
CURRENTS
DATA
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
INFORMATION
LIMITING VALUES
LINEAR ACCELERATORS
MATHIEU EQUATION
NUMERICAL DATA
SPACE CHARGE
THEORETICAL DATA
THREE-DIMENSIONAL CALCULATIONS