Second order particle motion equations and linear chromaticity calculation in accelerator rings

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The first part of this note presents a thorough study on the second order particle motion equations, both in continuous field and in hard edges, with emphasis put on the latter. Having quite general conditions and strict mathematical treatments, it provides a sound ground from which many problems can be solved without fear of being misled. Then the linear CHR calculation is inspected, the first step being a general analytical expression of the transverse oscillation phase increment due to a small disturbance. The expression for the CHR is then readily obtained since tune is the transverse oscillation number per turn ... continued below

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Pages: 47

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Liu, R.Z. January 1, 1984.

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Description

The first part of this note presents a thorough study on the second order particle motion equations, both in continuous field and in hard edges, with emphasis put on the latter. Having quite general conditions and strict mathematical treatments, it provides a sound ground from which many problems can be solved without fear of being misled. Then the linear CHR calculation is inspected, the first step being a general analytical expression of the transverse oscillation phase increment due to a small disturbance. The expression for the CHR is then readily obtained since tune is the transverse oscillation number per turn and the CHR is the linear dependence of the tune on particle energy/momentum deviation. The last part gives the formulae for practical CHR calculation, which are general enough to include almost all the magnet types commonly used in various accelerator rings and are simpler than can be found elsewhere.

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Pages: 47

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NTIS, PC A03/MF A01.

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  • Other: DE84005895
  • Report No.: SLAC/AP-11
  • Grant Number: AC03-76SF00515
  • DOI: 10.2172/5271033 | External Link
  • Office of Scientific & Technical Information Report Number: 5271033
  • Archival Resource Key: ark:/67531/metadc1065308

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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

  • January 1, 1984

Added to The UNT Digital Library

  • Feb. 4, 2018, 10:51 a.m.

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  • May 29, 2018, 4:40 p.m.

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Liu, R.Z. Second order particle motion equations and linear chromaticity calculation in accelerator rings, report, January 1, 1984; California. (digital.library.unt.edu/ark:/67531/metadc1065308/: accessed October 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.