In the last few years, highly anisotropic metamaterials have been explored in various geometries, showcasing interesting routes to achieve better control of sound propagation. As an extreme example, hyperbolic metasurfaces have been shown to offer broadband enhanced sound-matter interactions and diffraction-less propagation of acoustic waves, providing opportunities for sub-diffraction imaging and enhanced sound emission. In this study, we show that structure design of a locally resonant metamaterial enables extreme anisotropic responses, ranging from elliptic to hyperbolic propagation of acoustic surface waves, offering interesting opportunities for extreme sound guiding and steering at the subwavelength scale well compatible with a wide range of additive manufacturing techniques.

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