Figure 2
From: Delay time of waves performing Lévy walks in 1D random media
Experimental delay-time distributions (histograms) for Lévy waveguides characterized by (a) \(\alpha =1/2\) and \(\left\langle -\ln T \right\rangle =4.7\) at 9.9 GHz (red histogram) and (b) \(\alpha =3/4\) and \(\left\langle -\ln T \right\rangle =12\) at 11.2 GHz (green histogram). The blue histogram in (b) corresponds to random waveguides with ordinary (Gaussian) disorder with \(\left\langle -\ln T \right\rangle =12\) at 11.2 GHz. The histograms were constructed with (a) 4590 and (b) 1890 data. Insets show \(p(\tau _R)\) on a logarithmic scale. Red, green (blue) solid curves show the theoretical predictions from Eq. (4) (Eq. (3)). Experimental delay times for a typical realization of the disorder of waveguides with (c) \(\alpha =1/2\) and (d) 3/4. Black dots represent the average of \(\tau _R\) over frequency windows \(\Delta \nu =0.4\) GHz. The horizontal black dashed lines are the averages of \(\tau _R\) over the complete frequency window (8–12 GHz).
