Mathematical operations for acoustic signals based on layered labyrinthine metasurfaces

Acoustic devices such as acoustic diodes, switches, and logic gates can manipulate acoustic signals extraordinarily and show potential in acoustic engineering. However, pioneering works suffer from the limitations of simple functionality, high losses, and geometrical complexity. Here, we present an acoustic analog computing system based on acoustic metasurfaces constructed from layered labyrinthine metamaterials. The system can perform complex mathematical operations, such as spatial differentiation, integration, and convolution on acoustic signals. The proposed system offers a practical, efficient, and flexible solution of designing compact devices for acoustic computing applications, signal processing, and acoustic wave manipulations.