Deconvolution of momentum distributions from measured beam profile data

The production of high-brilliance proton beams which will be the task of the PS complex as injector for the future LHC, stresses the need for" accurate measurement transverse emittances. In many parts of the PS complex the emittances are measured by means of SEM-grids (beam profile monitors). However, the momentum width of the beam is folded with the betatron width so that the emittance derived from the measured beam profile may be meaningless when momentum spread and dispersion are large. This paper describes a procedure to unfold or deconvolute the momentum distribution from the measured beam profile so as to extract the betatron part of the beam profile. The method has been coded in MATHEMATICA and added as an optional package, launched on user request, to the standard emittance measurement software installed in the new PS control system.