A technique to measure chromaticity based on the harmonic analysis of a longitudinally kicked beam

Recently a method to measure chromaticity has been proposed by applying a transverse and a longitudinal kick to the beam. Assuming a Gaussian bunch in the 6-dimensional phase space, analytical expressions were derived, which relate the synchrotron sidebands to the machine chromaticity. To assess limitations and extensions of this technique, a more realistic accelerator model is considered including dispersion, transverse nonlinearities and second order chromaticity, which modify the Fourier spectrum. Tracking and analytical studies are performed to describe these effects.