A two-parameter accelerating FODO cell

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A beamline containing accelerating cavities sandwiched between focusing and defocusing quadrupoles is made periodic by (a) postulating the simplest effect of cavities on transverse dynamics and (b) adopting a fiction that the ratio of initial to final momenta, (p{sub i}/p{sub f})--not the difference in energies, (E{sub f}-E{sub i})--is the same for all cavities. While not realistic, the optics of such a linac can be expressed without reference to initial beam parameters, using methods devised for storage rings. We will derive results for a simple two-parameter thin lens model, the parameters being p{sub i}/p{sub f} and the ratio of quadrupole spacing ... continued below

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85 Kilobytes pages

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Michelotti, Leo July 3, 2001.

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A beamline containing accelerating cavities sandwiched between focusing and defocusing quadrupoles is made periodic by (a) postulating the simplest effect of cavities on transverse dynamics and (b) adopting a fiction that the ratio of initial to final momenta, (p{sub i}/p{sub f})--not the difference in energies, (E{sub f}-E{sub i})--is the same for all cavities. While not realistic, the optics of such a linac can be expressed without reference to initial beam parameters, using methods devised for storage rings. We will derive results for a simple two-parameter thin lens model, the parameters being p{sub i}/p{sub f} and the ratio of quadrupole spacing to focal length.

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85 Kilobytes pages

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  • 2001 Particle Accelerator Conference, Chicago, IL (US), 06/18/2001--06/22/2001

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  • Report No.: Fermilab-Conf-01/143-T
  • Grant Number: AC02-76CH03000
  • Office of Scientific & Technical Information Report Number: 782651
  • Archival Resource Key: ark:/67531/metadc723187

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  • July 3, 2001

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  • Sept. 29, 2015, 5:31 a.m.

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  • April 1, 2016, 6:47 p.m.

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Michelotti, Leo. A two-parameter accelerating FODO cell, article, July 3, 2001; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc723187/: accessed November 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.