Experimental observations of topologically guided water waves within non-hexagonal structures

Abstract

We investigate symmetry-protected topological water waves within a strategically engineered square lattice system. Thus far, symmetry-protected topological modes in hexagonal systems have primarily been studied in electromagnetism and acoustics, i.e. dispersionless media. Herein, we show experimentally how crucial geometrical properties of square structures allow for topological transport that is ordinarily forbidden within conventional hexagonal structures. We perform numerical simulations that take into account the inherent dispersion within water waves and devise a topological insulator that supports symmetry-protected transport along the domain walls. Our measurements, viewed with a high-speed camera under stroboscopic illumination, unambiguously demonstrate the valley-locked transport of water waves within a non-hexagonal structure. Due to the tunability of the energy's directionality by geometry, our results could be used for developing highly-efficient energy harvesters, filters and beam-splitters within dispersive media.

References in corpus (19)

• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Topological Photonics
• Valley contrasting physics in graphene: magnetic moment and topological transport
• Acoustic topological insulator and robust one-way sound transport
• Direct Observation of Valley-polarized Topological Edge States in Designer Surface Plasmon Crystals
• Electronic Highways in Bilayer Graphene
• Topological phononic insulator with robustly pseudospin-dependent transport
• Observation of Acoustic Valley Vortex States and Valley-Chirality Locked Beam Splitting
• Novel topological beam-splitting in photonic crystals
• The Emergence of Topological Nodal Points in Photonic Crystal with Mirror Symmetry
• Graded resonator arrays for spatial frequency separation and amplification of water waves
• Observation of topological edge states of sound at a momentum away from the high-symmetry point
• Designing multi-directional energy-splitters and topological valley supernetworks
• Helical scattering and valleytronics in bilayer graphene
• Geometrically navigating topological platonic modes around gentle and sharp bends
• Manipulating Topological Valley Modes in Plasmonic Metasurfaces
• Dykes for filtering ocean waves using c-shaped vertical cylinders
• Observation of topological gravity-capillary waves in a water wave crystal
• Observations of symmetry induced topological mode steering in a reconfigurable elastic plate

Cited by in corpus (5)

• Topological rainbow trapping for elastic energy harvesting in graded SSH systems
• Hybrid topological guiding mechanisms for photonic crystal fibers
• Tailored Topological Edge Waves via Chiral Hierarchical Metamaterials
• Tunable three-way valley Hall energy-splitter: venturing beyond graphene-like structures
• Metamaterials and Fluid Flows