We present an improved iterative algorithm which allows to reconstruct
the temporal pulse profile, phase and absolute intensity of ultra-sho
rt laser pulses from a set of cross-phase-modulated spectra. The chang
es in the centre of gravity of the recorded spectra allow to reconstru
ct the intensity autocorrelation independently of the phase retrieval
algorithm. Ambiguity problems encountered in a previous scheme are eli
minated. (C) 1997 Elsevier Science B.V.