SLAC - PUB - 7140 June 1996 Diffraction Model of a Step - Out Transition *
نویسندگان
چکیده
The diffraction model of a cavity, suggested by Lawson, Bane and Sands is generalized to a step-out transition, Using this model, the high-frequency impedance is calculated explicitly for the case that the transition step is small compared with the beam-pipe radius. In the diffraction model for a small step-out transition, the total energy is conserved, but, unlike the cavity case, the diffracted waves in the geometric shadow and the pipe region, in general, do not always carry equal energy. In the limit of small step sizes, the impedance derived from the diffraction model agrees with that found by Balakin, Novokhatsky and also Kheifets. This impedance can be used to compute the wake field of a round collimator whose half-aperture is much larger than the bunch length, as existing in the SLC final focus.
منابع مشابه
Diffraction model of a step-out transition for a sheet beam in planar geomet~
III. Outlook Using a diffraction model, we derive the longitudinal highIf the step d is not small, we must include the interference of frequency impedance of a small step-out transition for a sheet the two waves diffracted at the lower and upper edge and also beam in planar geometry. the multiple reflections. In this case, the bound~ conditions can still be satisfied in a diffraction model, nam...
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