Beams Document 3374-v5

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Search for integrable 4-D accelerator mappings

Document #:
Beams-doc-3374-v5
Document type:
Note
Submitted by:
Sergei Nagaitsev
Updated by:
Sergei Nagaitsev
Document Created:
24 Apr 2009, 11:11
Contents Revised:
30 Oct 2009, 10:49
Metadata Revised:
29 Feb 2012, 13:19
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Other Versions:
Beams-doc-3374-v4
17 Sep 2009, 14:32
Beams-doc-3374-v3
24 Apr 2009, 17:10
Beams-doc-3374-v2
24 Apr 2009, 13:38
Beams-doc-3374-v1
24 Apr 2009, 11:11
Abstract:
We model an accelerator lattice by a mapping consisting of a 4x4 symplectic matrix followed by a thin non-linear lens of special properties. Our goal is to find such non-linear lenses that can eliminate chaotic trajectories in a large volume of the beam phase-space while also having large betatron tune spreads. In this report we present several attempts (so far of limited success) to find such lattices.
Files in Document:
  • PDF file (Search for integrable mappings.pdf, 162.3 kB)
Keywords:
beam_dynamics
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