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We design extremely-thin acoustic metasurfaces, providing a versatileplatform for the manipulation of reflected pressure fields, that areconstructed from mass loads and stretched membranes fixed to a periodic rigidframework. These metasurfaces demonstrate deeply subwavelength control and canhave thicknesses an order of magnitude less than those based around Helmholtzresonators. Each sub-unit of the metasurface is resonant at a frequency tunedgeometrically, this tunability provides phase control and using a set of finelytuned membrane resonators we create a phase-grating metasurface. This surfaceis designed to exhibit all-angle negative reflections with the ratio ofwavelength, $\lambda$, to thickness, $h$, of $\lambda/h\approx 23.1$, and tocreate a flat mirror using the phase profile of an elliptic reflecting mirror.A further important acoustic application is to sound diffusers and we proceedto design a deeply subwavelength membrane-based meta-diffuser that can be twoorders of magnitude thinner than the operating wavelength, i.e. thickness$\approx\lambda/102$. This paves the way for developing advanced acousticmetasurfaces with applicability to functional acoustic devices in sound-relatedindustries.

Designing Hyper-Thin Acoustic Metasurfaces with Membrane Resonators