Abstract
Topological one-way edge states have attracted increasing attention because of their intriguing fundamental physics and potential applications, particularly in the realm of photonics. In this paper, we present a theoretical and numerical demonstration of topological one-way edge states in an air-hole honeycomb gyromagnetic photonic crystal biased by an external magnetic field. Localized horizontally to the edge and confined in vertical direction by two parallel metallic plates, these unique states possess robust one-way propagation characteristics. They are strongly robust against various types of defects, imperfections and sharp corners on the path, and even can unidirectionally transport along the irregular edges of arbitrary geometries. We further utilize the one-way property of edge states to overcome entirely the issue of back-reflections and show the design of topological leaky wave antennas. Our results open a new door towards the observation of nontrivial edge states in air-hole topological photonic crystal systems, and offer useful prototype of robust topological photonic devices, such as geometry-independent topological energy flux loops and topological leaky wave antennas.
Highlights
Topological physics is flourishing as an active field, which has drawn extensive attention in both fundamental research and applied science [1]
We investigate, theoretically and numerically, topological one-way edge states in an air-hole gyromagnetic photonic crystal (GPC) of a honeycomb lattice of air holes drilled in a gyromagnetic slab surrounded by two parallel metallic plates in vertical direction
We have demonstrated that the topological one-way edge states could exist in a rectangular air-hole honeycomb GPC biased by an external magnetic field
Summary
Topological physics is flourishing as an active field, which has drawn extensive attention in both fundamental research and applied science [1]. These numerical simulations exhibit that both zigzag and armchair edges of air-hole honeycomb GPC support the one-way edge states in the green region with a frequency range of 5.52 ∼ 6.21 GHz (their bandwidth is about 11.8%). These simulated results exhibit that the geometry-independent topological energy flux loops can be created in the air-hole GPCs, which may provide the great opportunity to develop complex topological circuitry of arbitrary geometries for the robust transport of photons in classical wave regimes. It should be emphasized that by introducing the irregular edges of arbitrary geometries into the air-hole GPCs, the geometryindependent topological leaky wave antenna can be realized
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