Application of the Green's function method to some nonlinear problems of an electron storage ring. Part III. Beam-size enhancement due to the presence of nonlinear magnets in a ring

Technical Report · Sat Jan 01 00:00:00 EST 1983

DOI:https://doi.org/10.2172/5858296· OSTI ID:5858296

Kheifets, S

A perturbation method which allows one to find the distribution function and the beam size for a broad class of storage ring nonlinear problems is described in Part I of this work. In present note I apply this method to a particular problem. Namely, I want to evaluate an enhancement of the vertical beam size of a bunch due to the presence of the ring of nonlinear magnetic fields. The main part of the work deals with sextupole magnets. Formula for the beam size in the presence of octupole fields are also developed to the first order in the octupole strength, although octupole magnets are not widely used in present storage ring designs. This calculation is done mainly because the octupole field has the same symmetry as the beam-beam force for the head-on collision. This will give us the opportunity to compare the conduct of the bunch due to this two types of nonlinear kicks. The general terms of the applicability of the Green's function method is discussed in the first part of this work.

• Research Organization: SLAC National Accelerator Lab., Menlo Park, CA (United States)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 5858296
• Report Number(s): SLAC/AP-2; ON: DE83015081; TRN: 83-019301
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
STORAGE RINGS
BEAM DYNAMICS
BEAM BUNCHING
BEAM EMITTANCE
ELECTRON BEAMS
GREEN FUNCTION
HEXAPOLES
MAGNETIC FIELDS
NONLINEAR PROBLEMS
OCTUPOLES
PERTURBATION THEORY
BEAMS
FUNCTIONS
LEPTON BEAMS
MULTIPOLES
PARTICLE BEAMS
430200* - Particle Accelerators- Beam Dynamics
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430400 - Particle Accelerators- Storage Rings