Alternative approach to general coupled linear optics
The Twiss parameters provide a convenient description of beam optics in uncoupled linear beam lines. For coupled beam lines, a variety of approaches are possible for describing the linear optics; here, we propose an approach and notation that naturally generalizes the familiar Twiss parameters to th...
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American Physical Society
2006-02-01
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Series: | Physical Review Special Topics. Accelerators and Beams |
Online Access: | http://doi.org/10.1103/PhysRevSTAB.9.024001 |
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doaj-dfd9a560c1f4432b92f5d434f5619e182020-11-25T02:01:06ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022006-02-019202400110.1103/PhysRevSTAB.9.024001Alternative approach to general coupled linear opticsAndrzej WolskiThe Twiss parameters provide a convenient description of beam optics in uncoupled linear beam lines. For coupled beam lines, a variety of approaches are possible for describing the linear optics; here, we propose an approach and notation that naturally generalizes the familiar Twiss parameters to the coupled case in 3 degrees of freedom. Our approach is based on an eigensystem analysis of the matrix of second-order beam moments, or alternatively (in the case of a storage ring) on an eigensystem analysis of the linear single-turn map. The lattice functions that emerge from this approach have an interpretation that is conceptually very simple: in particular, the lattice functions directly relate the beam distribution in phase-space to the invariant emittances. To emphasize the physical significance of the coupled lattice functions, we develop the theory from first principles, using only the assumption of linear symplectic transport. We also give some examples of the application of this approach, demonstrating its advantages of conceptual and notational simplicity.http://doi.org/10.1103/PhysRevSTAB.9.024001 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Andrzej Wolski |
spellingShingle |
Andrzej Wolski Alternative approach to general coupled linear optics Physical Review Special Topics. Accelerators and Beams |
author_facet |
Andrzej Wolski |
author_sort |
Andrzej Wolski |
title |
Alternative approach to general coupled linear optics |
title_short |
Alternative approach to general coupled linear optics |
title_full |
Alternative approach to general coupled linear optics |
title_fullStr |
Alternative approach to general coupled linear optics |
title_full_unstemmed |
Alternative approach to general coupled linear optics |
title_sort |
alternative approach to general coupled linear optics |
publisher |
American Physical Society |
series |
Physical Review Special Topics. Accelerators and Beams |
issn |
1098-4402 |
publishDate |
2006-02-01 |
description |
The Twiss parameters provide a convenient description of beam optics in uncoupled linear beam lines. For coupled beam lines, a variety of approaches are possible for describing the linear optics; here, we propose an approach and notation that naturally generalizes the familiar Twiss parameters to the coupled case in 3 degrees of freedom. Our approach is based on an eigensystem analysis of the matrix of second-order beam moments, or alternatively (in the case of a storage ring) on an eigensystem analysis of the linear single-turn map. The lattice functions that emerge from this approach have an interpretation that is conceptually very simple: in particular, the lattice functions directly relate the beam distribution in phase-space to the invariant emittances. To emphasize the physical significance of the coupled lattice functions, we develop the theory from first principles, using only the assumption of linear symplectic transport. We also give some examples of the application of this approach, demonstrating its advantages of conceptual and notational simplicity. |
url |
http://doi.org/10.1103/PhysRevSTAB.9.024001 |
work_keys_str_mv |
AT andrzejwolski alternativeapproachtogeneralcoupledlinearoptics |
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