Investigating topological modes in one dimensional acoustic and elastic waveguides

Resumo

Periodic structures are well-known to exhibit interesting behavior such as band gaps. A myriad of outstanding applications has been studied in electronic and photonic crystals and more recent in phononics (acoustic and elastic) crystals. Most of these applications rely on phenomena called topological modes, for they are related with topological invariants and they are topologically protected. One of that modes is called Interface Mode, and was particularly regarded in this work, in light of two fundamental tools: dispersion relation diagrams and the concept of geometric phase (GP). We use numerical simulations and made experiments in unidimensional elastic rods and acoustic ducts, the simplest periodic systems there is. Our enticements are to verify theoretical predictions from wave physics as we strive to understand some quantum physics and topology key concepts.