Fields and First Order Perturbation Effects in Two-DimensionalConductor Dominated Magnets

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General expressions are given for the field and its expansion coefficients produced by a two dimensional conductor structure surrounded by iron with a circular inside boundary. Saturation effects are described in terms of the tangential field at that boundary. The effects of the following types of perturbations are discussed: displacement, rotation and error excitation of a conductor, change of conductor shape, and modification of the inside contour of the iron. A design criterion is given to minimize the error fields associated with a displacement of the iron shell relative to the conductor structure. Expressions for the force and torque acting ... continued below

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Halbach, K. July 1, 1969.

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General expressions are given for the field and its expansion coefficients produced by a two dimensional conductor structure surrounded by iron with a circular inside boundary. Saturation effects are described in terms of the tangential field at that boundary. The effects of the following types of perturbations are discussed: displacement, rotation and error excitation of a conductor, change of conductor shape, and modification of the inside contour of the iron. A design criterion is given to minimize the error fields associated with a displacement of the iron shell relative to the conductor structure. Expressions for the force and torque acting on a conductor are derived both for the unperturbed and perturbed magnet. Formulae are presented that allow convenient and fast evaluation of pertinent quantities with a computer when the structure is too complicated for hand computations.

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  • Journal Name: Nuclear Instruments and Methods; Journal Volume: 78; Journal Issue: 2; Related Information: Journal Publication Date: 02/15/1970

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  • Report No.: UCRL--18947
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 881425
  • Archival Resource Key: ark:/67531/metadc885989

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  • July 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. Fields and First Order Perturbation Effects in Two-DimensionalConductor Dominated Magnets, article, July 1, 1969; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc885989/: accessed December 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.