“…Thus, this temporally segmented and collated representation of one-dimensional intensity dynamics is called the spatio-temporal evolution of laser intensity, or simply, spatio-temporal dynamics [32,33] (also see Supplementary, [33]). In a broader context, spatio-temporal representations of intensity dynamics have been employed in describing the dynamic behaviour of semiconductor lasers [34,35] including vertical cavity surface emitting lasers [36,37], transverse pattern formation in various lasers and parametric oscillators [38,39], in the study of multimode instabilities [40][41][42], including those observed in high power fibre lasers [43,44] and in the influence of stimulated Brillouin scattering [45,46]. Spatio-temporal representations of intensity evolution have also been routinely used in the numerical modelling of various kinds of fibre-based light sources [47][48][49].…”