Phase retrieval by an array of overlapping time-lenses

Temporal imaging of both the intensity and the phase is important for investigating ultra-short events such as rogue waves or mode-locked laser dynamics in a record high resolution. We developed a temporal phase retrieval scheme based on several overlapping time-lenses, where all the time-lenses use the same fibers and detectors leading to high stability and low noise levels. We show that our phase retrieval technique converges faster than techniques that resort to a single time-lens, together with the Fourier transform of the signal.