Fig. 3: Thermalization of light in nonlinear lattices involving generalized intensity-dependent nonlinearities F(x). | Nature Communications

Fig. 3: Thermalization of light in nonlinear lattices involving generalized intensity-dependent nonlinearities F(x).

From: Universality of light thermalization in multimoded nonlinear optical systems

Fig. 3

a An example of non-analytic function used in our simulations. b Corresponding Rayleigh–Jeans (RJ) distribution (T = 0.15, μ = −2.5) occurring after thermalization. c A discontinuous multi-step function used in our simulations. d Again this nonlinearity leads to a RJ distribution. e A saturable nonlinearity described by \({F}_{3}(x)=\frac{x}{1+x}\), and (f) its corresponding RJ distribution. In (b) and (d), the initial excitation conditions are exactly the same and as a result they attain the same RJ allocation, an aspect indicating universality in thermalization.The insets have been plotted in a manner similar to Fig. 2. As before, here we used M = 100 and the initial mode occupancies are represented by the dashed lines.

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