Analytical formulas for short bunch wakes in a flat dechirper

We develop analytical models of the longitudinal and transverse wakes, on and off axis for a flat, corrugated beam pipe with realistic parameters, and then compare them with numerical calculations, and generally find good agreement. These analytical “first order” formulas approximate the droop at th...

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Bibliographic Details
Main Authors: Karl Bane, Gennady Stupakov, Igor Zagorodnov
Format: Article
Language:English
Published: American Physical Society 2016-08-01
Series:Physical Review Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevAccelBeams.19.084401
Description
Summary:We develop analytical models of the longitudinal and transverse wakes, on and off axis for a flat, corrugated beam pipe with realistic parameters, and then compare them with numerical calculations, and generally find good agreement. These analytical “first order” formulas approximate the droop at the origin of the longitudinal wake and of the slope of the transverse wakes; they represent an improvement in accuracy over earlier, “zeroth order” formulas. In example calculations for the RadiaBeam/LCLS dechirper using typical parameters, we find a 16% droop in the energy chirp at the bunch tail compared to simpler calculations. With the beam moved to 200  μm from one jaw in one dechirper section, one can achieve a 3 MV transverse kick differential over a 30  μm length.
ISSN:2469-9888