Optimization of {beta} functions through insertion devices

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Description

It is generally noted that at an undulator straight section, the horizontal beta function is made to be large while the vertical beta function is relatively small. On the other hand, at a wiggler straight section, both horizontal and vertical beta functions are made to be small. In this note we describe a procedure with which optimum settings of the beta functions in the insertion straight section are to be determined. For this we consider separately for the undulator radiation and the radiation from the wiggler device. Since the brilliance of radiation is a canonically conserved quantity, we use the ... continued below

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13 p.

Creation Information

Cho, Y. August 5, 1985.

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Description

It is generally noted that at an undulator straight section, the horizontal beta function is made to be large while the vertical beta function is relatively small. On the other hand, at a wiggler straight section, both horizontal and vertical beta functions are made to be small. In this note we describe a procedure with which optimum settings of the beta functions in the insertion straight section are to be determined. For this we consider separately for the undulator radiation and the radiation from the wiggler device. Since the brilliance of radiation is a canonically conserved quantity, we use the brilliance as a figure of merit for the consideration. Then the optimization process is to find a set of horizontal and vertical beta functions which would give the maximum brilliance when the natural emittance, emittance coupling constant, length of insertion device and the photon energy to which the insertion device is optimized are specified. The next step of the study is to find sensitivities of the beta functions to the brilliance.

Physical Description

13 p.

Notes

OSTI as DE96015099

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  • Other Information: PBD: 5 Aug 1985

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  • Other: DE96015099
  • Report No.: LS--53(ANL)
  • Grant Number: W-31109-ENG-38
  • DOI: 10.2172/376364 | External Link
  • Office of Scientific & Technical Information Report Number: 376364
  • Archival Resource Key: ark:/67531/metadc688678

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Creation Date

  • August 5, 1985

Added to The UNT Digital Library

  • July 25, 2015, 2:20 a.m.

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  • Dec. 16, 2015, 5:14 p.m.

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Cho, Y. Optimization of {beta} functions through insertion devices, report, August 5, 1985; Illinois. (digital.library.unt.edu/ark:/67531/metadc688678/: accessed September 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.