Abstract:Spectro-temporal studies on the nonlinear physics of complex laser dynamics are essential in approaching its ultimate performance as well as understanding interdisciplinary problems. Unfortunately, it has long been limited by the insufficient spectro-temporal resolving power of conventional temporal and spectral analyzers, particularly when an indefinite optical signal ensemble contains polychromatic mixtures of continuous-wave (CW) and short pulse. In this work, we propose a real-time optical spectro-temporal analyzer (ROSTA) with three synchronized processing channels (i.e., multi-core) for single-shot studies on laser dynamics. It simultaneously provides temporal resolutions of ~70 ps in the time domain and 10's ns (or 10's MHz frame rate) in the spectral domain, as well as a high spectral resolution for multiscale optical inputs, i.e., ranging from CW to fs pulses. Its nontrivial record length of up to 6.4 ms enables continuous observations of non-repetitive optical events over an extensive time period -equivalent to a propagation distance of ~1900 km. To showcase its practical applications, ROSTA is applied to visualize the onset of passive modelocking of a fiber laser, and interesting phenomena, i.e., evolution from quasi-CW noise burst to strong shock, transition from fluctuation to mode-locking, and coexistence of CW and mode-locked pulses, have been spectro-temporally observed in a single-shot manner for the first time. It is anticipated that ROSTA will be a powerful technology for spectro-temporal optical diagnosis in different areas involving polychromatic transients. 1335-1337 (2008). 11. C. Xu and F. W. Wise, "Recent advances in fibre lasers for nonlinear microscopy," Nat. Photonics 7(11), 875-882 (2013). 12. N. G. Horton, K. Wang, D. Kobat, C. G. Clark, F. W. Wise, C. B. Schaffer, and C. Xu, "In vivo three-photon microscopy of subcortical structures within an intact mouse brain," Nat. Photonics 7(3), 205-209 (2013). 13. C. W. Freudiger, W. Yang, G. R. Holtom, N. Peyghambarian, X. S. Xie, and K. Q. Kieu, "Stimulated Raman scattering microscopy with a robust fibre laser source," Nat. Photonics 8(2), 153-159 (2014). 14. J. M. Dudley, G. Genty, and S. Coen, "Supercontinuum generation in photonic crystal fiber," Rev. Mod. Phys.78(4), 1135-1184 (2006). 15. F. Leo, S. Coen, P. Kockaertl, S.-P. Gorza, P. Emplit, and M. Haelterman, "Temporal cavity solitons in onedimensional kerr media as bits in an all-optical buffer," Nat. Photonics 4(7), 471-476 (2010). 16. J. K. Jang, M. Erkintalo, S. G. Murdoch, and S. Coen, "Ultraweak long-range interactions of solitons observed over astronomical distances," Nat.