This talk will investigate the dispersion properties of piezoelectric metamaterials with non-local circuit interactions. A general lumped-element dispersion modeling framework is developed and applied to piezoelectric media with non-local circuit coupling. While the contribution from the underlying mechanical lattice is always Hermitian, it is straightforward to make the overall system non-Hermitian using unbalanced or directional electrical interactions. In this way, piezoelectric metamaterials are a natural venue to explore non-Hermitian acoustic phenomena. Case studies are presented for various non-local circuit interactions and electrical lattices, highlighting non-reciprocal acoustic propagation, topological properties, and system stability.

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Muhammad Bilal Khan, Peera Tienthong, and Christopher Sugino, "Wave propagation in non-local piezoelectric metamaterials," Proc. SPIE PC12483, Active and Passive Smart Structures and Integrated Systems XVII, PC124830C (Presented at SPIE Smart Structures + Nondestructive Evaluation: March 14, 2023; Published: 28 April 2023); https://doi.org/10.1117/12.2658548.6323742017112.