Functional dependence, broad-band fitting, and ancillary conditions

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The ability to make multiple passes through a charged particle optical system, as a single step in a mathematical procedure, opens up new computational capa- bilities. At the simplest level, the functional dependence of any transfer matrix of any order, or any beam phase-space parameter can be plotted as a function of any other parameter used to describe the optical con#12;guration. Secondly, broad-band #12;tting can be done on aberrations, where all orders are considered simultaneously according to their importance on the #12;nal phase-space beam distribution. Finally, ancillary conditions may be imposed in the calculation of functional dependences. For example, the ... continued below

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Carey, David C. November 1, 1998.

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The ability to make multiple passes through a charged particle optical system, as a single step in a mathematical procedure, opens up new computational capa- bilities. At the simplest level, the functional dependence of any transfer matrix of any order, or any beam phase-space parameter can be plotted as a function of any other parameter used to describe the optical con#12;guration. Secondly, broad-band #12;tting can be done on aberrations, where all orders are considered simultaneously according to their importance on the #12;nal phase-space beam distribution. Finally, ancillary conditions may be imposed in the calculation of functional dependences. For example, the dependence of a matrix element on a beam line parameter may be calculated and plotted, subject to constraints imposed on other matrix elements. The computer program TRANSPORT now has these capabilities. Additional examples will be given.

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131 Kilobytes

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  • 1998 International Computational Accelerator Physics Conference, Monterey, California, September 14-18, 199

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  • Other: DE00002062
  • Report No.: FERMILAB-Conf-98/350
  • Grant Number: NONE
  • Office of Scientific & Technical Information Report Number: 2062
  • Archival Resource Key: ark:/67531/metadc672375

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  • November 1, 1998

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  • June 29, 2015, 9:42 p.m.

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  • April 18, 2016, 3:23 p.m.

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Carey, David C. Functional dependence, broad-band fitting, and ancillary conditions, article, November 1, 1998; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc672375/: accessed July 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.