High Energy FFAG Ring Magnet with Spirally Ridged Field

Technical Report · Wed Mar 02 04:00:00 EST 1955

DOI:https://doi.org/10.2172/4336464· OSTI ID:4336464

Kerst, D. W. ^[1]

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

In the first reports on the focussing properties of magnetic fields having the so called spirally ridged form $$H = Ho(r/ro)^k (1 + f sin[\frac{x}{ƛ} - NΘ]$$ or $H = Ho(r/ro)^k (1 + f sin [1/w Ln r/ro - NΘ]$. The motion was expanded about a circular reference circle and the inhomogeneous term was ignored in the discussion of the stability of the motion. It was pointed out at the end of reference 1 that the inhomogeneous term must be considered. This is because the scalloped motion of the closed equilibrium orbit causes the orbit to spend more time in the negative field gradient regions and less time in the positive field gradient regions than would be spent if the equilibrium orbit were circular. The treatment with a scalloped orbit as a reference orbit should give stronger vertical focussing.

• 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-11-003143
• OSTI ID: 4336464
• Report Number(s): MURA--62; MURA-DWK-7(Rev.)
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
BETATRONS
CONFIGURATION
CYCLOTRONS
EFFICIENCY
FFAG ACCELERATORS
FREQUENCY
LENSES
MAGNETIC FIELDS
MAGNETS
MECHANICAL STRUCTURES
NUMERICALS
ORBITS
OSCILLATIONS
PLANNING
SPIRAL SECTOR ACCELERATORS
STABILITY