Linear and nonlinear decoupling using time-dependent transformations

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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
Contributors	A Wolski (Liverpool U.)
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)

Type	Details	URI(s)	Local file(s)	Year
Journal Article	Phys Rev Spec Top-Ac 10, no. 2 (2007): 024002.		e024002.pdf	2007