How to construct a second-order achromat with a 90 degree phase advance

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The author shows how to construct a second order achromatic (T{sub ij6} = 0, i, j {element_of} {l_brace}1,2{r_brace}) beamline with a total phase advance of 450{degree} (360{degree} + 90{degree}). The goal is to construct a 90{degree} cell which is achromatic to second order. One possible way to do this is to construct a 360{degree} sector followed by a 90{degree} cell; put dipoles and sextupoles in the 360{degree} sector; and throw the aberrations into the 90{degree} cell such that the final transformation is achromatic. The author expresses the aberrations in the 360{degree} sector in terms of the 90{degree} cell and determine ... continued below

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148 Kilobytes pages

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Kobilarcik, T. July 5, 2000.

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The author shows how to construct a second order achromatic (T{sub ij6} = 0, i, j {element_of} {l_brace}1,2{r_brace}) beamline with a total phase advance of 450{degree} (360{degree} + 90{degree}). The goal is to construct a 90{degree} cell which is achromatic to second order. One possible way to do this is to construct a 360{degree} sector followed by a 90{degree} cell; put dipoles and sextupoles in the 360{degree} sector; and throw the aberrations into the 90{degree} cell such that the final transformation is achromatic. The author expresses the aberrations in the 360{degree} sector in terms of the 90{degree} cell and determine whether any combination of sextupoles gives the correct cancellation.

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148 Kilobytes pages

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  • Other Information: PBD: 5 Jul 2000

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  • Report No.: FERMILAB-TM-2119
  • Grant Number: AC02-76CH03000
  • DOI: 10.2172/757593 | External Link
  • Office of Scientific & Technical Information Report Number: 757593
  • Archival Resource Key: ark:/67531/metadc709350

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  • July 5, 2000

Added to The UNT Digital Library

  • Sept. 12, 2015, 6:31 a.m.

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  • April 1, 2016, 5:29 p.m.

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Kobilarcik, T. How to construct a second-order achromat with a 90 degree phase advance, report, July 5, 2000; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc709350/: accessed August 16, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.