Author: Forest, E.
Paper Title Page
TUADC2
 Spin Dynamics in PTC: Normal Forms, Invariant Spin Fields, and Resonance Strengths  
 
  • D.T. Abell, D. Meiser
    Tech-X, Boulder, Colorado, USA
  • D.P. Barber
    DESY, Hamburg, Germany
  • E. Forest
    KEK, Ibaraki, Japan
  
  Funding: This work supported in part by the US DOE Office No. DE-SC0004432.
Over the past several years, Forest has added spin motion and related capabilities to PTC [1]. The capabilities include, via FPP [2], the computation of a spin normal form. This normal form, and the associated normalising maps for orbit and spin, provide us with immediate access to important quantities, including the invariant spin field and resonance strengths. The algorithms in PTC/FPP thus represent an alternative approach to computing significant quantities for the analysis of spin dynamics in particle accelerators. We describe the PTC algorithm, note similarities with the case of the orbital normal form, and give illustrative examples. In particular, we apply PTC to the well-understood COSY lattice, and we compare the results computed by PTC with those computed by the well-tested code EpsSLICK [3].
[1] E. Forest, F. Schmidt, and E. McIntosh, KEK Report 2002-3.
[2] E. Forest, Y. Nogiwa, and F. Schmidt, ICAP2006, p. 191-193.
[3] D. Barber, DESY Report, DESY-2009-15. 		 
slides icon Slides TUADC2 [1.595 MB]