Dr. Prabhakaran Manogharan Profile

Dr. Prabhakaran Manogharan

at Georgia Institute of Technology

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Proceedings Article | 9 May 2024 Presentation + Paper

Merging topological bandgaps in a programmable piezoelectric metamaterial to realize multiple interface modes

Prabhakaran Manogharan, Joseph Shedleski, Alper Erturk

Proceedings Volume 12946, 129460L (2024) https://doi.org/10.1117/12.3025999

KEYWORDS: Metamaterials, Quantum metamaterials, Design, Interfaces, Inductance, Elasticity, Mode shapes, Quantum physics, Dielectrics, Crystals

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Programmable piezoelectric metamaterials are attractive due to their ability to precisely tune band structures and thereby control waves in unprecedented ways. By connecting piezoelectric unit cells to shunt circuits, the effective stiffness of the piezoelectric metamaterial can be tuned locally, offering a higher degree of design freedom over mechanical metamaterials. On the other hand, with advances in topological insulators, and the introduction of topological properties such as quantum Hall, quantum spin Hall, quantum Valley-Hall, and Weyl physics in acoustic and elastic systems have opened new avenues to manipulate waves. Topological interface modes are of interest due to their resistance to backscattering, defects, and energy leakage. In this study, a 1D Su–Schrieffer–Heeger (SSH) type programmable piezoelectric metamaterial beam model is proposed to explore topological interface modes. Specifically, we use the band folding mechanism, by doubling the primitive unit cells we close the bands in the high symmetric points and develop two band folding points near the locally resonant bandgap. Furthermore, the effective stiffness of the two-unit cells is varied using inductive shunt circuits to break the space inversion symmetry and lift the degeneracies. We show that by tuning the inductive shunt resonant frequency of the two-unit cells near the locally resonant bandgap frequency, the two band foldinginduced bandgaps can be merged along with the locally resonant bandgap, and two topological interface modes are realized numerically. Our future work involves experimental demonstration of merging topological bandgaps to realize multiple interface states.

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