Explicit higher order symplectic integrator for s-dependent magnetic field

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We derive second and higher order explicit symplectic integrators for the charged particle motion in an s-dependent magnetic field with the paraxial approximation. The Hamiltonian of such a system takes the form of H {summation}{sub k}(p{sub k} - a{sub k} {rvec q}, s){sup 2} + V({rvec q}, s). This work solves a long-standing problem for modeling s-dependent magnetic elements. Important applications of this work include the studies of the charged particle dynamics in a storage ring with strong field wigglers, arbitrarily polarized insertion devices,and super-conducting magnets with strong fringe fields. Consequently, this work will have a significant impact on the ... continued below

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5 pages

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Wu, Y.; Forest, E. & Robin, D.S. June 1, 2001.

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Description

We derive second and higher order explicit symplectic integrators for the charged particle motion in an s-dependent magnetic field with the paraxial approximation. The Hamiltonian of such a system takes the form of H {summation}{sub k}(p{sub k} - a{sub k} {rvec q}, s){sup 2} + V({rvec q}, s). This work solves a long-standing problem for modeling s-dependent magnetic elements. Important applications of this work include the studies of the charged particle dynamics in a storage ring with strong field wigglers, arbitrarily polarized insertion devices,and super-conducting magnets with strong fringe fields. Consequently, this work will have a significant impact on the optimal use of the above magnetic devices in the light source rings as well as in next generation linear collider damping rings.

Physical Description

5 pages

Notes

INIS; OSTI as DE00835340

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  • Journal Name: Physical Review E; Journal Volume: 6804; Journal Issue: 4 Part 2; Other Information: Submitted to Physical Review E, Volume 6804, No.4, Part 2; Journal Publication Date: 10/2003

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  • Report No.: LBNL--48172
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 835340
  • Archival Resource Key: ark:/67531/metadc782181

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • June 1, 2001

Added to The UNT Digital Library

  • Dec. 3, 2015, 9:30 a.m.

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  • April 4, 2016, 12:55 p.m.

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Wu, Y.; Forest, E. & Robin, D.S. Explicit higher order symplectic integrator for s-dependent magnetic field, article, June 1, 2001; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc782181/: accessed April 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.