Classification of Topological Phase in 2D Photonic Continuous Media Using Electromagnetic Parameters

Abstract

Refractive index is a fundamental electromagnetic (EM) parameter that can describe photonic continuous media (PCM) traditionally as either transparency or opacity. Recently, topological theory offers a new set of phases to characterize PCM as either trivial or nontrivial, by using topological invariant which are not direct to EM parameters. As all of optical properties in PCM should be related to EM parameters, we formulate a topological index based on EM parameters and establish its phase map in this work. The map can analytically describe the deterministic condition for a topologically nontrivial phase. Our findings indicate that the topology of 2D bi-anisotropic PCM is determined by the sign of the topological index. Another EM parameter of pseudo surface impedance is also introduced for the opaque regions of PCM, showing that the topological opacity has a full range of impedance values ranging from negative to positive, while the trivial case only has either negative or positive impedance. The simulation results show that an interface between two opacities with differing index signs can support robustly optical propagation of topological edge states. As the index only depends on EM parameters, it will pave an insightful way to further understand the intrinsic properties of photonic topology.

References in corpus (36)

• Topological Insulators
• Topological insulators and superconductors
• Topological Photonics
• Topological Photonics
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Imaging topological edge states in silicon photonics
• Past Achievements and Future Challenges in 3D Photonic Metamaterials
• Scheme to Achieve Silicon Topological Photonics
• Colloquium: Topological Band Theory
• Observation of a phononic quadrupole topological insulator
• Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
• A topological quantum optics interface
• All-Si Valley-Hall Photonic Topological Insulator
• A Silicon-on-Insulator Slab for Topological Valley Transport
• Visualization of higher-order topological insulating phases in two-dimensional dielectric photonic crystals
• Direct observation of corner states in second-order topological photonic crystal slabs
• Topological protection of photonic mid-gap cavity modes
• Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems
• Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide
• Second-order photonic topological insulator with corner states
• Novel Topological Phase with Zero Berry Curvature
• Corner states of light in photonic waveguides
• Valley-contrasting orbital angular momentum in photonic valley crystals
• Valley-protected backscattering suppression in silicon photonic graphene
• Photonic Topological Insulator in Synthetic Dimensions
• Photonic crystal nanocavity based on a topological corner state
• Topological photonic crystals: physics, designs and applications
• A topological source of quantum light
• Topological Photonic Phase in Chiral Hyperbolic Metamaterials
• Two-Dimensionally Confined Topological Edge States in Photonic Crystals
• Hyperbolic Weyl point in reciprocal chiral metamaterial
• PTD Symmetry Protected Scattering Anomaly in Optics
• A comprehensive review on developments of synthetic dimensions
• Zero-index Weyl metamaterials
• Photonic analogues of the Haldane and Kane-Mele models