Figure 3
From: Delay time of waves performing Lévy walks in 1D random media

Numerical delay-time distributions with parameters \(\alpha =1/2\) (red histogram) and \(\alpha =3/4\) (green histogram) and for random waveguides with conventional (Gaussian) disorder (blue histogram). In all cases \(\left\langle -\ln T \right\rangle = 10\). The histograms were constructed with \(5 \times 10^6\) disorder realizations. The solid curves are the theoretical predictions from Eqs. (3) and (4) for standard and Lévy disorder, respectively. The dashed line, proportional to \(1/\tau _R^{2}\), is a guide to the eye.