Channeled Acoustic Topological Insulators
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Kliewer, Emily
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Abstract
Topological insulators have garnered considerable interest due to their unique edge state properties. That is because the existence of topologically significant interface states within the bandgap indicates the bulk material acts as an insulator, while waves propagate along the interface. As topologically protected edge states can offer immunity to backscattering from sharp corners or defects, considerable effort has been expended to explore systems known to produce these states. Original efforts focused on electronic systems; however, in recent years the methods from condensed matter physics have been applied to acoustics to find acoustic analogues of the Quantum Hall Effect (QHE), Quantum Spin Hall Effect (QHSE), and Quantum Valley Hall Effect (QVHE). This thesis first explores a statically reconfigurable, channeled acoustic topological insulator manufactured using additive manufacturing. Theoretical and experimental results validated the topological protection of this QVHE topological insulator, while later efforts considered the optimization of the system to improve the topological protection. This thesis also explores the analysis techniques for nonlinear acoustic topological insulators and analyzes a one-dimensional chain of atoms with alternating stiffening and softening springs.
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2022-05-03
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