Derivation of Collins' formulas for beam-shape distortion due to sextupoles using Hamiltonian method

Technical Report · Mon Oct 01 00:00:00 EDT 1984

DOI:https://doi.org/10.2172/6447630· OSTI ID:6447630

Ng, K Y

The introduction of sextupoles into a storage ring will distort the beam shape in both the horizontal and vertical phase space. The purpose of this note is to rederive the formulas for the lowest-order beam-shape distortion given by Collins using the Hamiltonian approach such as the one used by Ohnuma. Collins' formulas for the second-order tune-shift have been rederived by the Hamiltonian method in a recent note. We go over the Hamiltonian method briefly for two reasons: (1) to make this note more readable; and (2) to conform with the convention of Collins so that a comparison can be made.

• Research Organization: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
• DOE Contract Number: AC02-76CH03000
• OSTI ID: 6447630
• Report Number(s): FERMILAB/TM-1281; ON: DE85002427
• Resource Relation: Other Information: Portions are illegible in microfiche products. Original copy available until stock is exhausted
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM FOCUSING MAGNETS
BEAM OPTICS
STORAGE RINGS
ANALYTICAL SOLUTION
HAMILTONIANS
MULTIPOLES
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ELECTRICAL EQUIPMENT
ELECTROMAGNETS
EQUIPMENT
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