The fine structure of the longitudinal machine impedance observed with single bunches

摘要

Using a beam spectrum measurement the detailed structure of the CERN SPS longitudinal machine impedance has been observed over a wide frequency range. Single high intensity proton bunches were injected into the machine with RF off. The spectrum of the unstable bunch modes, produced by the different resonant impedances in the ring, was measured during slow debunching. The maximum mode amplitude as a function of frequency was recorded for many injected bunches. The central frequency of each bunch mode is close to the resonant frequency of the impedance and the width depends upon the bunch length. Using sufficiently long bunches allowed the machine impedance to be seen in detail in the frequency range 100 MHz to 4 GHz. The low frequency of this range is defined by the initial stable bunch spectrum, and the high frequency by die vacuum chamber cut-off frequency. The dominant peaks in the spectrum have been identified with different impedance sources in the machine-some previously unknown.