Interpretation of the horizontal beam response near the third integer resonance

Abstract

The beam response to an external periodic excitation delivers relevant information about the optics, tune distribution and stability of a circulating beam in a storage ring. In this contribution the horizontal beam response to the excitation (transfer function) under conditions typical for slow extraction is presented for a coasting beam. The resulting spectrum exhibits a splitting behaviour. The single particle dynamics is discussed and an interpretation based on simulation results is presented.

References in corpus (5)

• Array Programming with NumPy
• Interpretation of transverse tune spectra in a heavy-ion synchrotron at high intensities
• Smoothing of the slowly extracted coasting beam from a synchrotron
• Analysis of adiabatic trapping phenomena for quasi-integrable area-preserving maps in the presence of time-dependent exciters
• Excitation of nonlinear second order betatron sidebands for Knock Out slow extraction at the third-integer resonance