Abstract
The topological state in photonics was first realized based on the magnetic-optic (MO) effect and developed rapidly in recent years. This review summarizes various topological states. First, the conventional topological chiral edge states, which are accomplished in periodic and aperiodic systems based on the MO effect, are introduced. Some typical novel topological states, including valley-dependent edge states, helical edge states, antichiral edge states, and multimode edge states with large Chern numbers in two-dimensional and Weyl points three-dimensional spaces, have been introduced. The manifest point of these topological states is the wide range of applications in wave propagation and manipulation, to name a few, one-way waveguides, isolator, slow light, and nonreciprocal Goos–Hänchen shift. This review can bring comprehensive physical insights into the topological states based on the MO effect and provides reference mechanisms for light one-way transmission and light control.
Highlights
Frontiers in MaterialsThe topological state in photonics was first realized based on the magnetic-optic (MO) effect and developed rapidly in recent years
Topology, which began as a mathematical concept, studies the properties of geometry or space that remain unchanged with continuous deformations (Xu et al, 2015)
The effects of MO represent the phenomena in which electromagnetic (EM) waves propagate in materials with a static magnetic field, such as the Faraday effect (Dannegger et al, 2021; Kazemi et al, 2021; Majedi, 2021; Yertutanol et al, 2021), the MO Kerr effect (Borovkova et al, 2016; Amanollahi et al, 2018; Diaz-Valencia, 2021; Papusoi et al, 2021), and Review on Magnetic-Optic Effect the Zeeman effect (Márquez and Esquivel-Sirvent, 2020; Li et al, 2021)
Summary
The topological state in photonics was first realized based on the magnetic-optic (MO) effect and developed rapidly in recent years. The conventional topological chiral edge states, which are accomplished in periodic and aperiodic systems based on the MO effect, are introduced. Some typical novel topological states, including valley-dependent edge states, helical edge states, antichiral edge states, and multimode edge states with large Chern numbers in twodimensional and Weyl points three-dimensional spaces, have been introduced. The manifest point of these topological states is the wide range of applications in wave propagation and manipulation, to name a few, one-way waveguides, isolator, slow light, and nonreciprocal Goos–Hänchen shift. This review can bring comprehensive physical insights into the topological states based on the MO effect and provides reference mechanisms for light one-way transmission and light control
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