Edge focusing
Beam transport matrix elements describing the linearly faling fringe field of a combined function bending magnet are expanded in powers of the fringe field length by iteratively solving the integral form of Hill's equation. The method is applicable to any linear optical element with variable focusing strength along the reference orbit. Results for the vertical and horizontal focal lengths agree with previous calculations for a zero gradient magnet and an added correction to the dispersion is found for this case. A correction to the fringe field gradient peculiar to a combined-function magnet with strong edge focusing is also found. The influence of edge focusing on the tunes and chromaticities of the NSLS rings is described. The improved chromaticity calculation for the booster was of particular interest since this ring has bending magnets with poletips shaped to achieve small positive chromaticities.
- Research Organization:
- Brookhaven National Lab., Upton, NY (USA)
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 6568702
- Report Number(s):
- BNL-29211; CONF-810314-77; TRN: 81-006771
- Resource Relation:
- Conference: Particle accelerator conference, Washington, DC, USA, 11 Mar 1981
- Country of Publication:
- United States
- Language:
- English
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Beam tracking of SXLS with realistic magnetic field
Beam tracking of SXLS with realistic magnetic field
Related Subjects
BEAM BENDING MAGNETS
BEAM DYNAMICS
BEAM TRANSPORT
CORRECTIONS
MATHEMATICAL MODELS
THEORETICAL DATA
TRANSFER MATRIX METHOD
DATA
ELECTRICAL EQUIPMENT
ELECTROMAGNETS
EQUIPMENT
INFORMATION
MAGNETS
NUMERICAL DATA
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics