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arXiv · 2511.11876

Acoustic Metamaterials with Positive and Negative Couplings: Modular and One Piece Architectures for Topological Models

Jackson Saunders·Camelia Prodan
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Abstract

We describe two 3D-printing approaches for realizing tight-binding models in acoustic metamaterials using H-shaped resonators: a modular system with tunable interconnections and an integrated one-piece design for reducing dissipation. The platform supports both positive and negative coupling through geometric control, enabling accurate acoustic analogs of topological models. By tuning the coupling length (CL), we eliminate detuning effects and preserve particle-hole symmetry. We further quantify the influence of the Total Coupling Area (TCA) on band topology and derive conditions for constant-area coupling. The system was tested on SSH and Kitaev chains, revealing midgap edge and interface states, confirming topological behavior in both configurations.

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Jackson Saunders, Camelia Prodan. 2025-11-14. Acoustic Metamaterials with Positive and Negative Couplings: Modular and One Piece Architectures for Topological Models. https://arxiv.org/abs/2511.11876

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