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Chung, Moses
Intense Beam and Accelerator Laboratory (IBAL)
Research Interests
  • Accelerator, beam physics and diagnostics, plasma

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Beam envelope calculations in general linear coupled lattices

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Title
Beam envelope calculations in general linear coupled lattices
Author
Chung, MosesQin, HongGroening, LarsDavidson, Ronald C.Xiao, Chen
Issue Date
2015-01
Publisher
AMER INST PHYSICS
Citation
PHYSICS OF PLASMAS, v.22, no.1, pp.013109
Abstract
The envelope equations and Twiss parameters (beta and alpha) provide important bases for uncoupled linear beam dynamics. For sophisticated beam manipulations, however, coupling elements between two transverse planes are intentionally introduced. The recently developed generalized Courant-Snyder theory offers an effective way of describing the linear beam dynamics in such coupled systems with a remarkably similar mathematical structure to the original Courant-Snyder theory. In this work, we present numerical solutions to the symmetrized matrix envelope equation for b which removes the gauge freedom in the matrix envelope equation for w. Furthermore, we construct the transfer and beam matrices in terms of the generalized Twiss parameters, which enables calculation of the beam envelopes in arbitrary linear coupled systems. (C) 2015 AIP Publishing LLC.
URI
https://scholarworks.unist.ac.kr/handle/201301/11021
URL
http://scitation.aip.org/content/aip/journal/pop/22/1/10.1063/1.4903457
DOI
10.1063/1.4903457
ISSN
1070-664X
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PHY_Journal Papers
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