{"ID":3084765,"CreatedAt":"2026-06-05T06:46:15.197025399Z","UpdatedAt":"2026-06-07T01:45:54.587002255Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2606.05572","arxiv_id":"2606.05572","title":"Wave Focusing in Metamaterials: Tactile Displays Beyond the Diffraction Limit","abstract":"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.","short_abstract":"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...","url_abs":"https://arxiv.org/abs/2606.05572","url_pdf":"https://arxiv.org/pdf/2606.05572v1","authors":"[\"Gregory Reardon\",\"Max Linnander\",\"Dustin Goetz\",\"Neeli Tummala\",\"Yon Visell\"]","published":"2026-06-04T01:46:38Z","proceeding":"cs.ET","tasks":"[\"cs.ET\",\"cs.HC\",\"cs.RO\",\"physics.app-ph\"]","methods":"[]","has_code":false}