Fig. 4: Location of caustics from elastodynamic simulations.
From: Branched flows of flexural waves in non-uniform elastic plates
a Plot of scintillation index of wave in a thin plate with \({{\langle }}{h}^{2}{{\rangle }}=9.06\times 1{0}^{-4}\). The location of the first prominent peak is \({l}_{{{{{{\rm{f}}}}}}}\). b Normalised time-integrated intensity plot of the same case. One can clearly see the large amplitude fluctuations caused by random focusing. The first focusing point is detected using the scintillation index. c The scaling \({\widetilde{l}}_{f} \sim {\widetilde{L}}_{{{{{{\rm{c}}}}}}}\) similar to that in Fig. 3 on a log-log plot. Markers indicate mean and a 2-standard-deviation width centred on the mean is indicated by a vertical lines. d A plot of \({l}_{{{{{{\rm{f}}}}}}}\) obtained from running multiple simulations for multiple values of \({{\langle }}{h}^{2}{{\rangle }}\). All lengths are normalised as in Fig. 3 on a semi-log plot. Mean \({{\langle }}{\widetilde{l}}_{{{{{{\rm{f}}}}}}}{{\rangle }}\) of each cluster is indicated by blue markers and a 2-standard-deviation width centred on the mean is indicated by a vertical blue line.
