The dynamic aperture and the high multipole limit

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Tracking studies have indicated that for a lattice whose elements all have a single field multipole present, all having the same order {kappa}, the dynamic aperture approaches a non zero limit when {kappa} becomes very large. The dynamic aperture and other properties of the lattice, as {kappa} becomes large, will be called the high multipole limit. It will be shown that the high multipole limit provides a reasonable estimate of the dynamic aperture of an accelerator, and the other properties of the high multipole limit found below are useful for understanding the stability of the accelerator. The high multipole limit ... continued below

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41 p.

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Parzen, G. March 1, 1998.

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Description

Tracking studies have indicated that for a lattice whose elements all have a single field multipole present, all having the same order {kappa}, the dynamic aperture approaches a non zero limit when {kappa} becomes very large. The dynamic aperture and other properties of the lattice, as {kappa} becomes large, will be called the high multipole limit. It will be shown that the high multipole limit provides a reasonable estimate of the dynamic aperture of an accelerator, and the other properties of the high multipole limit found below are useful for understanding the stability of the accelerator. The high multipole limit is easily computed and it also provides an estimate of how much can be gained by correcting the lower field multipoles. The above results will be illustrated by tracking studies done with a simple one cell lattice, and with a RHIC lattice having six low beta insertions.

Physical Description

41 p.

Notes

INIS; OSTI as DE98004921

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  • Other Information: PBD: Mar 1998

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  • Other: DE98004921
  • Report No.: BNL--65364
  • Report No.: AD/RHIC--141
  • Grant Number: AC02-98CH10886
  • DOI: 10.2172/650357 | External Link
  • Office of Scientific & Technical Information Report Number: 650357
  • Archival Resource Key: ark:/67531/metadc703208

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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Creation Date

  • March 1, 1998

Added to The UNT Digital Library

  • Sept. 12, 2015, 6:31 a.m.

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  • Nov. 6, 2015, 11:47 p.m.

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Parzen, G. The dynamic aperture and the high multipole limit, report, March 1, 1998; Upton, New York. (digital.library.unt.edu/ark:/67531/metadc703208/: accessed October 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.