First Order Perturbation Effects in Iron-Dominated Two-DimensionalSymmetrical Multipoles

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The effects of several perturbations are investigated. They are: modification of the shape of a pole, error excitation, displacement, and rotation of a pole. The effects are described in terms of changes of multipole coefficients. General relationships between some of these coefficients are described, and formulae are derived that allow their calculation for a model 2N-pole magnet. Numerical values of these coefficients are given for a quadrupole, sextupole, and octupole.

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Halbach, K. April 1, 1969.

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Description

The effects of several perturbations are investigated. They are: modification of the shape of a pole, error excitation, displacement, and rotation of a pole. The effects are described in terms of changes of multipole coefficients. General relationships between some of these coefficients are described, and formulae are derived that allow their calculation for a model 2N-pole magnet. Numerical values of these coefficients are given for a quadrupole, sextupole, and octupole.

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  • Journal Name: Nuclear Instruments and Methods; Journal Volume: 74; Related Information: Journal Publication Date: 1969

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  • Report No.: UCRL--18841
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 891040
  • Archival Resource Key: ark:/67531/metadc873743

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  • April 1, 1969

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  • Sept. 21, 2016, 2:29 a.m.

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  • Nov. 3, 2016, 7:50 p.m.

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Halbach, K. First Order Perturbation Effects in Iron-Dominated Two-DimensionalSymmetrical Multipoles, article, April 1, 1969; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc873743/: accessed August 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.