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.
The pillbox and its mode are shown in Figure 13, with the electromagnetic field solved in CST
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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.