Particle motion inside and near a linear half-integer stopband

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Description

This paper studies the motion of a particle whose tune is inside and near a linear half-integer stopband. Results are found for the tune and beta functions in the stable region close to an edge of the stopband. Results are found for the growth rates and for the exponentially growing particle motion inside the stopband. It is shown that the eigenvalues and the eigenfunctions of the transfer matrix are real inside the stopband. All the results found are also valid for small accelerators where the large accelerator approximation is not used.

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17 p.

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Parzen, G. July 1, 1995.

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Description

This paper studies the motion of a particle whose tune is inside and near a linear half-integer stopband. Results are found for the tune and beta functions in the stable region close to an edge of the stopband. Results are found for the growth rates and for the exponentially growing particle motion inside the stopband. It is shown that the eigenvalues and the eigenfunctions of the transfer matrix are real inside the stopband. All the results found are also valid for small accelerators where the large accelerator approximation is not used.

Physical Description

17 p.

Notes

INIS; OSTI as DE95016123

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  • Other Information: PBD: Jul 1995

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  • Other: DE95016123
  • Report No.: BNL--62036
  • Report No.: AD/RHIC--134
  • Grant Number: AC02-76CH00016
  • DOI: 10.2172/93724 | External Link
  • Office of Scientific & Technical Information Report Number: 93724
  • Archival Resource Key: ark:/67531/metadc792531

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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

  • July 1, 1995

Added to The UNT Digital Library

  • Dec. 19, 2015, 7:14 p.m.

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  • Jan. 14, 2016, 6:18 p.m.

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Parzen, G. Particle motion inside and near a linear half-integer stopband, report, July 1, 1995; Upton, New York. (digital.library.unt.edu/ark:/67531/metadc792531/: accessed December 12, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.