Abstract
We studied the coupled beam motion in a storage ring between the transverse and longitudinal directions introduced by crab cavities. Analytic form of the linear decoupling transformation is derived. The equilibrium bunch distribution in an electron storage ring with a crab cavity is given, including contribution to the eigen-emittance induced by the crab cavity. Application to the short pulse generation scheme using crab cavities is considered.
Highlights
Crab cavities have found major applications in storage rings
The crab cavity kicks on the short pulse generating bunches are not canceled within every revolution and these bunches are tilted everywhere in the ring in an equilibrium state
The equilibrium phase space distribution of these tilted bunches at the photon beam source points is critical for predicting the performance of the new short pulse scheme, which requires a thorough understanding of the beam dynamics with crab cavities
Summary
Crab cavities ( known as transverse deflecting cavities) have found major applications in storage rings. It has been proposed to use crab cavities to tilt a long bunch in the y-z plane in order to select a short x-ray pulse from the radiation generated by the beam with a vertical slit [2,3]. By applying the matrix perturbation technique to the Ohmi envelope equation [5] and considering the quantum diffusion of the beam with a tilted distribution on the y-z directions, the equilibrium phase space distribution in an electron storage ring with crab cavities is obtained. These results are applied to the short pulse generation scheme [3].
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