Determination of coupled-lattice properties using turn-by-turn data

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A formalism for extracting coupled betatron parameters from multiturn, shock excited, beam position monitor data is described. The most important results are nonperturbative in that they do not rely on the underlying ideal lattice model. Except for damping, which is assumed to be exponential and small enough to be removed empirically, the description is symplectic. As well as simplifying the description, this leads to self-consistency checks that are applied to the data. The most important of these is a {open_quotes}magic ratio{close_quotes} of Fourier coefficients that is required to be a lattice invariant, the same at every beam position monitor. All ... continued below

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37 p.

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Bourianoff, G.; Hunt, S. & Mathieson, D. December 1, 1992.

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Description

A formalism for extracting coupled betatron parameters from multiturn, shock excited, beam position monitor data is described. The most important results are nonperturbative in that they do not rely on the underlying ideal lattice model. Except for damping, which is assumed to be exponential and small enough to be removed empirically, the description is symplectic. As well as simplifying the description, this leads to self-consistency checks that are applied to the data. The most important of these is a {open_quotes}magic ratio{close_quotes} of Fourier coefficients that is required to be a lattice invariant, the same at every beam position monitor. All formulas are applied to both real and simulated data. The real data was acquired June, 1992 at LEP as part of decoupling studies, using the LEP beam orbit measurement system. Simulated data, obtained by numerical tracking (TEAPOT) in the same (except for unknown errors) lattice, agrees well with real data when subjected to identical analysis. For both datasets, deviations between extracted and design parameters and deviations from self-consistency can be accounted for by noise and signal processing limitations. This investigation demonstrates that the LEP beam position system yields reliable local coupling measurements. It can be conservatively assumed that systems of similar design at the SSC and LHC will provide the measurements needed for local decoupling.

Physical Description

37 p.

Notes

INIS; OSTI as DE95011108

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  • Workshop on the stability of particle motion in storage rings, Upton, NY (United States), 19-24 Oct 1992

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  • Other: DE95011108
  • Report No.: SSCL-Preprint--181
  • Report No.: CONF-921077--15
  • Grant Number: AC35-89ER40486
  • Office of Scientific & Technical Information Report Number: 116697
  • Archival Resource Key: ark:/67531/metadc618449

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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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  • December 1, 1992

Added to The UNT Digital Library

  • June 16, 2015, 7:43 a.m.

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  • April 29, 2016, 6:01 p.m.

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Bourianoff, G.; Hunt, S. & Mathieson, D. Determination of coupled-lattice properties using turn-by-turn data, article, December 1, 1992; Dallas, Texas. (digital.library.unt.edu/ark:/67531/metadc618449/: accessed November 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.