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Persistent URL http://purl.org/net/epubs/work/44162
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Record Id 44162
Title Linear and nonlinear decoupling using time-dependent transformations
Abstract Linear coupling in a storage ring is conveniently analyzed in terms of transformations that put the single-turn map into block-diagonal form. Such a transformation allows us to define new variables, in which the dynamics are uncoupled. In this paper it is shown how a similar approach may be taken to nonlinear coupling, but that to decouple the map completely one needs to use a time-dependent canonical transformation. In Sec. 3 , we present a numerical example, based upon the analysis presented in previous sections, of a nonlinear transformation. In part for pedagogical reasons, and in part to make our use of notation clear, in Appendix 1 we reproduce the theory, along with a numerical example, of the well-known result for a linear transformation.
Organisation CCLRC , CI
Keywords Physics
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Language English (EN)
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Journal Article Phys Rev Spec Top-Ac 10, no. 2 (2007): 024002. e024002.pdf 2007