Fig. 2: Influence of constraints and edges on the wave characteristics.
From: Fast capillary waves on an underwater superhydrophobic surface
a The dispersion relation of the plastronic waves with respect to the inter-pillar spacing s, with fixed pillar height h = 53 μm. Exemplary values of the ratio Ω/k (i.e., the phase speed), indicated in orange on the plot, confirm the dispersive behaviour, emphasising as the pillar spacing decreases. b The phase speed as a function of the pillar spacing, with fixed pillar height h = 53 μm, all wavelengths combined. The comparison of experimental measurements is done with the theoretical phase speed of conventional (unconstrained) deep water waves (λ = 1 mm) and with the semi-empirical model of Scott and Benjamin12, defined in Eq. (2). This model, which describes the phase speed of an interfacial wave travelling in a deep water-filled channel as a function of the wall spacing bc, plotted here for different wavelengths, shows a good agreement with the experiments. Source data are provided as a Source Data file.
