Fig. 2: Backscattering-free propagation of one-way edge waves in arbitrary geometries.
From: Backscattering-free edge states below all bands in two-dimensional auxetic media

a Simulated energy distribution for 2D continua with different values of B3D/μ: 0.001, 0.01, 0.05, and 0.1 (at different times). Clockwise actuation (Gaussian modulated sine wave packet) excites right-going edge waves. To characterize the backscattering, a sharp defect is created at the boundary (black arrow). b Energy density of points A (actuation point), B (each marked in a) as functions of time at these B3D/μ parameters. Here, t0 and E0 are defined as t0 = L/cR, \({E}_{0}=\rho {c}_{{{{\rm{R}}}}}^{2}\), where L is the distance between A and B along the edge, and cR is the Rayleigh wave speed. c The energy density ratio EB/EA between points B and A (cumulative over time), demonstrating increasing backscattering immunity as B3D/μ → 0.