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.本数据集包含论文《利用超材料屏障（metabarriers）中的法向-剪切耦合（normal-shear coupling）实现深亚波长水下噪声控制》（2026年）的相关配图、几何模型及Matlab数据。 图2：(b) 归一化频率范围ωh/c0∈[0, 1]内的传声损失（Sound Transmission Loss，STL）计算结果，其中厚度h=10^−2，耦合因子δ分别取0.9、0.95、0.995。(c) 与(b)设置一致的传声损失计算结果，仅耦合因子δ=0.999，且厚度比h/h分别取10^−2、10^−1、10^0。 图3：(b) 经平滑近似处理后的优化流程结果。(c) 所得声学胞元（unit cell，长度a=10 mm）的色散图（dispersion diagram，实线），其中偏振值p=0表示完全纵向振动，p=1表示完全横向振动；虚线分别对应第一（k1）和第二（k2）色散分支对应的等效均质化介质的色散曲线。 图4：(c) 胞元数量依次递增（N=1, 2, …, 6）时的传声损失曲线。 图6：(b) 用于将初始矩形胞元的x-(y-)坐标进行形变映射，以转换为径向r（角向θ）坐标并生成弧形截面的脚本，该截面的内半径为ri、外半径为re。(c) 内半径ri=88 mm、外半径re=120 mm的加工制备结构。