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A Special Case of Mark II with No Reverse Field

Technical Report ·
DOI:https://doi.org/10.2172/4358932· OSTI ID:4358932
 [1]
  1. Univ. of Michigan, Ann Arbor, MI (United States); Midwestern Universities Research Association (MURA), Urbana, IL (United States)
Sone time ago it was suggested that perhaps the circumference of Mark I and Mark II FFAG types might be reduced by eliminating the reversed field magnets and relying on edge focusing entirely for one sign of focusing. With strong edge focusing, the slope of the edges light be so great as to cause the edges of adjacent sectors to meet at some radius and even cross (producing a local triangle-shaped region of twice the guide field). Considering only the region of such a machine where the sectors do not cross, that is where the guide field is alternately constant and zero, the linear equations for the σ's may be easily derived. A strong disadvantage of this design is that k is very small, since it arises as different effect. Also, the σ values are very sensitive to n and to edge angle. We conclude that this is not an attractive design for very high energy synchrotrons.
Research Organization:
Univ. of Michigan, Ann Arbor, MI (United States); Midwestern Universities Research Association (MURA), Urbana, IL (United States)
Sponsoring Organization:
US Atomic Energy Commission (AEC)
NSA Number:
NSA-11-003146
OSTI ID:
4358932
Report Number(s):
MURA--65; MURA-LWJ--9
Country of Publication:
United States
Language:
English

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