Fig. 3: Eigenfrequencies and phase-winding of one-way edge waves in arbitrary geometries.
From: Backscattering-free edge states below all bands in two-dimensional auxetic media
a Computed (green dots) and analytic (red line, following (10)) eigenfrequencies of a 2D media of irregular shape plotted against the mode index at B3D/μ = 0.01. Bulk modes start to appear above the blue dashed line, which are interspersed with edge modes at higher N0. b Profiles of modes n = 4, 6, 8, 10 (corresponding to winding numbers N0 = 1, 2, 3, 4) as examples of waves described by (6). Pink dots mark ϕ = 0 points in the bulk, the number of which equals the winding number N0(7). The black arrows represent the displacement vectors, which rotate N0 times around the boundary and vanish at N0 points in the bulk.
