Detailed Calculations of a Small Model FFAG Mark Ib Accelerator: Parts A and B

Technical Report · Mon Aug 01 04:00:00 EDT 1955

DOI:https://doi.org/10.2172/4384103· OSTI ID:4384103

Cole, F. T. ^[1]; Kerst, D. W. ^[2]

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1. Univ. of Illinois at Urbana-Champaign, IL (United States); Midwestern Universities Research Association (MURA), Urbana, IL (United States); Iowa State Univ., Ames, IA (United States)
2. Univ. of Illinois at Urbana-Champaign, IL (United States); Midwestern Universities Research Association (MURA), Urbana, IL (United States)

A small Mark lb ring magnet with wide radial aperture and small momentum content has a large proportion of its circumference in fringing fields. The calculations described here are largely concerned with the treatment of such fringe fields and other non-uniformities of fields or gradients on the oscillations around the accelerator. Factors influencing injection into such a model are also discussed. The model has eight sectors, a final energy of about 0.5 Mev, a radius of roughly 50 cm, a radius of curvature of about 20 cm, and a radial aperture of 15 cm. The momentum multiplication is about 5.5. With a minimum gap between iron poles of about 4 cm and a straight section between reversed field magnets of about 4 cm length, the fringing field at the end of a magnet extends into the gap more than 2 cm. and the "straight” section is filled with fringing field. These calculations were made to determine the influence of such non-ideal effects on parameters which can be arrived at simply using the matrices for sectors, straight sections and edges assuming no fringing - "hard edged”. The calculations using hard edges were made by Jones.

• Research Organization: Univ. of Illinois at Urbana-Champaign, IL (United States); Midwestern Universities Research Association (MURA), Urbana, IL (United States)
• Sponsoring Organization: US Atomic Energy Commission (AEC); National Science Foundation (NSF)
• NSA Number: NSA-11-003148
• OSTI ID: 4384103
• Report Number(s): MURA--67-PT.A; MURA-FTC/DWK--1; MURA--67-PT.B; MURA-FTC--1
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
ANALOG SYSTEMS
BETATRONS
CONFIGURATION
FFAG ACCELERATORS
LENSES
MAGNETIC FIELDS
MICHIGAN
NUMERICALS
OPERATION
PLANNING