“…The obtained results are further generalised by accounting for the pump depletion, XPM and SPM, and time dependence (GVD and walk-off between the pump and signal waves). This manipulation provides an opportunity to gain insight into the RIN 33 and extreme statistics in the FRAs 47 as a function of the PMD parameters and to adapt the developed methods to characterise the parametric 48 and Brillouin 49 amplifiers. Additionally, these results can be applied, in the context of new multi-scale methods development, to study the complex nonlinear coupled systems, such as lasers (multimode, mode-locked, random) 50 , 51 , 52 , nanostructures (light-mediated conformation of molecules and chemical reactions, Brownian motors 53 ), and other systems 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 .…”