Derives polynomial radial dependence for momentum kicks in azimuthally modulated RF cavities with beam pipes, validates against 3D simulations, and demonstrates applications for multipole removal and Gaussian-to-uniform beam transformation.
Coupled beam motion in a storage ring with crab cavities
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Controlling the Transverse Multipole Components in RF Cavity Modes using the Azimuthal Modulation Method
Derives polynomial radial dependence for momentum kicks in azimuthally modulated RF cavities with beam pipes, validates against 3D simulations, and demonstrates applications for multipole removal and Gaussian-to-uniform beam transformation.