Fig. 3
From: Topological sound

An acoustic valley Hall (AVH) insulator, reproduced from ref. 71. a A schematic of the sonic crystal, where the inset shows the cross-sectional view. b Dispersion relations for the gapless case of α = 0° (black lines) and gapped cases of −10° (color lines). c Topological phase dependency with α where the inset shows the vortex features. d Dispersions for the interfaces separating two topologically identical (upper panel) and distinct (lower panel) AVH insulating phases. e Power transmission (black line) and reflection (red line) spectra for a zigzag path, where the inset shows the field distribution. f Transmitted pressure measured for the zigzag path (red circles), and a straight channel (black circles)