A new technique for measuring the time- and frequency-dependent intensities and phases of correlation functions of broadband, non–transform-limited (noisy) light is presented. It is based on others’ successful previous efforts to measure the intensities and phases of short pulses by frequency-resolved optical gating. It is shown that a simplified algorithm based on the original algorithm for frequency-resolved optical gating is sufficient for the recovery of correlation functions. The first experimental realizations of this technique are presented, and the recovered noisy-light correlation functions are shown. By way of illustration, the dispersion of water is quantified. Applications to interferometrically time-resolved nonlinear optical spectroscopies are discussed.
© 1998 Optical Society of America
(030.1640) Coherence and statistical optics : Coherence
(030.6600) Coherence and statistical optics : Statistical optics
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.7110) Nonlinear optics : Ultrafast nonlinear optics
(320.1590) Ultrafast optics : Chirping
Michael J. Stimson, Darin J. Ulness, Jason C. Kirkwood, Gregory S. Boutis, and A. C. Albrecht, "Noisy-light correlation functions by frequency resolved optical gating," J. Opt. Soc. Am. B 15, 505-514 (1998)