Fringe fields for the N channel permanent magnet array

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Description

Analytical expressions are obtained for fringe field multipoles of an N channel permanent magnet quadrupole array. It is assumed that the system of magnetic wedges starts at some transverse (x, y) plane located at z = 0, and it continues to a magnet length z = l, where it stops. The iron yoke continues to z = {+-} {infinity}, but it will be shown that only a small overhang is actually required to maintain the quadrupole and translational symmetries. Recall the 2-d solution for the magnetic potential (H = {del}{phi}): {phi}{sub 2} = A [(x-x{sub i}){sup 2} - (y-y{sub i}){sub ... continued below

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14 p.

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Lee, E.P. April 1, 1996.

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Description

Analytical expressions are obtained for fringe field multipoles of an N channel permanent magnet quadrupole array. It is assumed that the system of magnetic wedges starts at some transverse (x, y) plane located at z = 0, and it continues to a magnet length z = l, where it stops. The iron yoke continues to z = {+-} {infinity}, but it will be shown that only a small overhang is actually required to maintain the quadrupole and translational symmetries. Recall the 2-d solution for the magnetic potential (H = {del}{phi}): {phi}{sub 2} = A [(x-x{sub i}){sup 2} - (y-y{sub i}){sub 2}], where A = -M{sub 0}/4b, M{sub 0} is the remnant field of the wedges, and (x{sub i}, y{sub i}) are the coordinates for the center of box (i). Boxes have dimensions 2b x 2b and alternate between vacuum fill (for beams) and magnetic wedge fill. The 2-d system looks like a portion of an infinite transverse lattice with periodicity lengthy = 4b in both the x and y directions. For the magnetic potential {phi}, the periodicity length is 2b.

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14 p.

Notes

INIS; OSTI as DE96013120

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  • Other Information: PBD: Apr 1996

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  • Other: DE96013120
  • Report No.: LBL--38333
  • Report No.: HIFAN--801
  • Grant Number: AC03-76SF00098
  • DOI: 10.2172/272524 | External Link
  • Office of Scientific & Technical Information Report Number: 272524
  • Archival Resource Key: ark:/67531/metadc670424

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  • April 1, 1996

Added to The UNT Digital Library

  • June 29, 2015, 9:42 p.m.

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  • April 5, 2016, 12:26 p.m.

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Lee, E.P. Fringe fields for the N channel permanent magnet array, report, April 1, 1996; California. (digital.library.unt.edu/ark:/67531/metadc670424/: accessed October 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.