Longitudinal Beam Parameter Tolerances of NSLS-II
Similar to the transverse phase space, the beam parameters in the longitudinal phase space must also be monitored and controlled. In the longitudinal phase space the fundamental parameters are: bunch arrival time(or the corresponding RF phase), average momentum, bunch length, and momentum spread. These parameters are usually perturbed by the various noises in a real machine. The noises could excite longitudinal bunch motion, seen by the users as timing jitter, intensity and wavelength variation, and transverse position shift et al. The longitudinal oscillations also cause longitudinal emittance growth, therefore lengthen the bunch and increase the momentum spread, and eventually decrease the brightness. As a rule of thumb for the tolerances, either transverse or longitudinal, the perturbation caused by the noises should not result in a decrease of brightness by more than 10%. The users are concerned about the longitudinal beam parameters in several ways. First the timing jitter affects the timing-dependent experiments. Even though a photo-diode detection system is usually used to to determine the arrival time, the bandwidth is only about 1 kHz. The users from this category ask for a timing jitter tolerance to be 5% of the RMS bunch length over the frequency range from 500 Hz to 50 kHz. This corresponds to a phase error of Δφ = 1.6 mr or 0.1° for a 10 ps bunch with a 500 MHz rf system.