arXiv:2606.05572cs.ETcs.HC2026-06

用超材料实现突破衍射极限的触觉聚焦,让触屏更精准。

Wave Focusing in Metamaterials: Tactile Displays Beyond the Diffraction Limit

论文配图:Wave Focusing in Metamaterials: Tactile Displays Beyond the Diffraction Limit
图 1 · 摘自论文原文
  • 通过在板上加共振单元构造超材料,改变波传播特性以实现聚焦。
  • 实验显示虚拟触觉点面积缩小十倍,定位精度显著提升。
  • 适合需要高精度触觉反馈的设备,如虚拟现实手柄或智能屏。

我们解决了一个难题:如何在表面任意位置生成多个独立可控的局部振动,以模拟虚拟触觉像素。传统方法在触觉频率下受衍射限制,无法实现多指交互所需的精细定位。为此,我们在柔性板上引入周期性机械共振单元,构成局域共振型超材料板。该结构使板体动态模式与共振单元耦合,改变波传播的色散关系,产生慢波分支,从而突破原始板的衍射极限。通过数值仿真优化超材料系统的色散特性,实现触觉频段下的高分辨率聚焦。随后我们制作了超材料触觉显示屏,实验证明其产生的虚拟触觉点比无共振单元的同构板小十倍。行为实验进一步验证系统可提供感知清晰的单点、多点及移动触觉刺激,且各位置可独立控制波形时间序列。该方法仅需少量驱动自由度即可实现高分辨率触觉显示,适用于广泛场景。

原文摘要 · Abstract (English)

We address the challenge of engineering distributed haptic displays capable of reproducing multiple localized, independently addressable vibrations -- representing virtual tactile pixels -- at arbitrary locations on a surface. Our technique is based on the focusing of mechanical waves in a flexural plate using a sparse set of actuators. At tactile frequencies, wave diffraction prevents the formation of localized virtual tactile pixels at spatial scales relevant for multi-digit touch interactions. We overcome this limitation by augmenting the plate with a lattice of mechanical resonators, forming a locally resonant metamaterial plate. Coupling between the plate's dynamic modes and those of the resonators alters the dispersion relation governing wave transmission, introducing a slow-wave branch that enables focusing beyond the diffraction limit imposed by the unmodified plate. We use numerical simulations to engineer the dispersion relation of the metamaterial system for high-resolution focusing at tactile frequencies. We then fabricate a metamaterial tactile display and experimentally demonstrate virtual pixels that are far more localized than those generated on an otherwise identical plate without resonators, resulting in a tenfold reduction in virtual-pixel area. In behavioral experiments, we show that this system can deliver perceptually localized single- and multi-point tactile feedback and moving tactile sources while maintaining independent control over temporal waveforms at multiple display locations. The methods reported here can enable high-resolution haptic displays for widespread applications using a small number of actuated degrees of freedom.

触觉显示超材料波聚焦人机交互

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