Analytic electrostatic solution of an axisymmetric accelerator gap

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Numerous computer codes calculate beam dynamics of particles traversing an accelerating gap. In order to carry out these calculations the electric field of a gap must be determined. The electric field is obtained from derivatives of the scalar potential which solves Laplace`s equation and satisfies the appropriate boundary conditions. An integral approach for the solution of Laplace`s equation is used in this work since the objective is to determine the potential and fields without solving on a traditional spatial grid. The motivation is to quickly obtain forces for particle transport, and eliminate the need to keep track of a large ... continued below

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5 p.

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Boyd, J. K. March 15, 1995.

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Description

Numerous computer codes calculate beam dynamics of particles traversing an accelerating gap. In order to carry out these calculations the electric field of a gap must be determined. The electric field is obtained from derivatives of the scalar potential which solves Laplace`s equation and satisfies the appropriate boundary conditions. An integral approach for the solution of Laplace`s equation is used in this work since the objective is to determine the potential and fields without solving on a traditional spatial grid. The motivation is to quickly obtain forces for particle transport, and eliminate the need to keep track of a large number of grid point fields. The problem then becomes one of how to evaluate the appropriate integral. In this work the integral solution has been converted to a finite sum of easily computed functions. Representing the integral solution in this manner provides a readily calculable formulation and avoids a number of difficulties inherent in dealing with an integral that can be weakly convergent in some regimes, and is, in general, highly oscillatory.

Physical Description

5 p.

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INIS; OSTI as DE95014157

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  • 16. Institute of Electrical and Electronic Engineers (IEEE) particle accelerator conference, Dallas, TX (United States), 1-5 May 1995

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  • Other: DE95014157
  • Report No.: UCRL-JC--119186
  • Report No.: CONF-950512--224
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 82315
  • Archival Resource Key: ark:/67531/metadc787902

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  • March 15, 1995

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  • Dec. 3, 2015, 9:30 a.m.

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  • Feb. 23, 2016, 1:04 p.m.

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Boyd, J. K. Analytic electrostatic solution of an axisymmetric accelerator gap, article, March 15, 1995; California. (digital.library.unt.edu/ark:/67531/metadc787902/: accessed August 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.