Harnessing normal-shear coupling in metabarriers for deep sub-wavelength underwater noise control

Figures, geometries, and Matlab data for "Harnessing normal-shear coupling in metabarriers for deep sub-wavelength underwater noise control" (2026). Fig. 2: (b) computed STL in the normalized frequency range ωh/c0 ∈ [0, 1] for the thickness h = h = 10^−2 and coupling factor δ = {0.9, 0.95, 0.995}. (c) Same as (b) for δ = 0.999 and h/h = {10^−2, 10^−1, 10^0}. Fig. 3: (b) Result of the optimization procedure after obtaining a smooth approximate representation. (c) Dispersion diagram (continuous lines) for the obtained unit cell (length a = 10 mm), with polarization values p indicating either completely longitudinal (p = 0) or transverse motion (p = 1). The dashed lines indicate the dispersion curves corresponding to the medium with effective homogenized properties for the first (k1) and second branches (k2). Fig. 4: (c) STL curves for an increasing number of unit cells (N = 1, 2, . . . , 6). Fig. 6: (b) Script for morphing the x-(y-) coordinates of the initially rectangular unit cell to generate correspondingradial r (angular θ) coordinates and obtain a section of a circular shape, yielding an internal radius ri and an external radius re.(c) Manufactured structure with ri = 88 mm and re = 120 mm.