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In this paper we suggest an analytic model, and derive simple formulas, forthe beam dynamics in a wakefield structure of arbitrary cross-section. Theresults could be applied to estimate an upper limit of the projected beam sizein devices such as the dechirper and the wakefield streaking device. Thesuggested formalism is also applicable to the case when slices of the beam aredistributed along an arbitrary line in 3D.

Analytical model of a 3D beam dynamics in a wakefield device