Contributions to the Unified Theory of FFAG Fields

Technical Report · Thu Mar 17 04:00:00 EST 1955

DOI:https://doi.org/10.2172/4363030· OSTI ID:4363030

Symon, Keith R. ^[1]

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1. Univ. of Wisconsin, Madison, WI (United States); Midwestern Universities Research Association (MURA), Urbana, IL (United States)

Terwilliger has developed a unified theory of all FFAG fields (unpublished) based on an expansion of the orbit equations about a reference circle, keeping only linear terms. In view of Laslett’s discovery that second order terms contribute focussing effects comparable to the first order focussing, it seems desirable to try to develop the unified theory in terms of an expansion of the orbit equations about the actual equilibrium orbit. We therefore propose to assume a set of equilibrium orbits given in terms of suitable parameters, and to determine from these parameters the character of the associated radial and vertical betatron oscillations as well as the magnetic field pattern required.

• Research Organization: Univ. of Wisconsin, Madison, WI (United States); Midwestern Universities Research Association (MURA), Urbana, IL (United States)
• Sponsoring Organization: US Atomic Energy Commission (AEC)
• NSA Number: NSA-11-003144
• OSTI ID: 4363030
• Report Number(s): MURA--63; MURA-KRS--8
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
CONFIGURATION
EQUATIONS
FFAG ACCELERATORS
GAMMA SPECTROMETERS
LENSES
MAGNETIC FIELDS
ORBITS
OSCILLATIONS
SCINTILLATION COUNTERS
SPECTRAL SHIFT
STABILITY