2002 Nonlinear Optics Measurements andModelling for the SPS at 26 GeV

During SPS MDs in the summer of 2002, nonlinear chromaticity, coupling, amplitude-dependent detuning, resonance driving terms and phase advancesalong the ring were measured with a 72-bunch LHC batch at 26 GeV. Following the procedure developed in previous years, the SPS optics model has been updated, by adjusting the magnitude of sextupole and decapole components in the SPS dipole magnets and octupole components in the quadrupoles, respectively, to values which would be consistent with the measurements. We compare the field errors deduced in 2002, measuring over a larger momentum range, with those found in 2001 and 2000. We show that the resolution can be improved by averaging over the turn-by-turn beam position data from all BPMs, distributed around the ring, instead of using the single dedicated pick up of the tune meter. Computations by two different codes, MAD and SAD, indicate the sensitivity to matching algorithm and magnet representation. Finally, the tune shifts with transverse amplitude, the driving terms of low order resonances and the phase advances along the ring predicted by this nonlinear optics model are compared with direct measurements.