Transient beam response in synchrotrons with a digital transverse feedback system

The transient beam response to an externally applied impulse force in synchrotrons with a digital transverse feedback system is studied. Experimental data from the LHC on damping of coherent transverse oscillations excited by the discrete-time unit impulse are analysed. Good agreement on the measured and theoretically predicted decrements has been obtained. A method of feedback fine tuning, based on measurements of bunch response to harmonic excitation impulse, is discussed.