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

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Spectral and structural stability properties of charged particle dynamics in coupled lattices

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Title
Spectral and structural stability properties of charged particle dynamics in coupled lattices
Author
Qin, HongChung, MosesDavidson, Ronald C.Burby, Joshua. W.
Issue Date
2015-05
Publisher
AMER INST PHYSICS
Citation
PHYSICS OF PLASMAS, v.22, no.5, pp.056702
Abstract
It has been realized in recent years that coupled focusing lattices in accelerators and storage rings have significant advantages over conventional uncoupled focusing lattices, especially for high-intensity charged particle beams. A theoretical framework and associated tools for analyzing the spectral and structural stability properties of coupled lattices are formulated in this paper, based on the recently developed generalized Courant-Snyder theory for coupled lattices. It is shown that for periodic coupled lattices that are spectrally and structurally stable, the matrix envelope equation must admit matched solutions. Using the technique of normal form and pre-Iwasawa decomposition, a new method is developed to replace the (inefficient) shooting method for finding matched solutions for the matrix envelope equation. Stability properties of a continuously rotating quadrupole lattice are investigated. The Krein collision process for destabilization of the lattice is demonstrated. © 2015 AIP Publishing LLC.
URI
https://scholarworks.unist.ac.kr/handle/201301/13424
URL
http://scitation.aip.org/content/aip/journal/pop/22/5/10.1063/1.4920961
DOI
10.1063/1.4920961
ISSN
1070-664X
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PHY_Journal Papers
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