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The formation of coherent structures in noise driven phenomena and inTurbulence is a complex and fundamental question. A particulary importantstructure is the so-called Rogue Wave (RW) that arises as the sudden appearanceof a localized and giant peak. First studied in Oceanography, RWs have beenextensively investigated in Optics since 2007, in particular in optical fibersexperiments on supercontinua and optical turbulence. However the typical timescales underlying the random dynamics in those experiments prevented --up tonow-- the direct observation of isolated RWs. Here we report on the directobservation of RWs, using an ultrafast acquisition system equivalent tomicroscope in the time domain. The RWs are generated by nonlinear propagationof random waves inside an optical fiber, and recorded with $\sim 250$~fsresolution. Our experiments demonstrate the central role played by"breathers-like" solutions of the one-dimensional nonlinear Schr\"odingerequation (1D-NLSE) in the formation of RWs

Direct observation of Rogue Waves in optical turbulence using Time Microscopy