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Physics of Plasmas
The envelope equations and Twiss parameters (b and a) provide important bases for uncoupled linear beam dynamics. For sophisticated beam manipulations, however, coupling elements between two transverse planes are intentionally introduced. The recently developed generalized Courant-Snyder theory offers an effective way of describing the linear beam dynamics in such coupled systems with a remarkably similar mathematical structure to the original Courant-Snyder theory. In this work, we presentdoi:10.1063/1.4903457 fatcat:lh473lvwd5hqjg4mlzwtjoycpq