Photonic realization of topologically protected bound states in domain-wall waveguide arrays

Abstract

We present an analytical theory of topologically protected photonic states for the two-dimensional Maxwell equations for a class of continuous periodic dielectric structures, modulated by a domain wall. We further numerically confirm the applicability of this theory for three-dimensional structures.

arXiv comment6 pages, 5 figures. To appear in the Phys. Rev. A

References in corpus (20)

• Topological Insulators
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Topological Photonics
• Photonic Floquet Topological Insulators
• 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
• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Analogs of quantum Hall effect edge states in photonic crystals
• Weyl points and line nodes in gapless gyroid photonic crystals
• The Zak phase and the existence of edge states in graphene
• Observation of novel edge states in photonic graphene
• Quantum and classical correlations in waveguide lattices
• Edge states and the bulk-boundary correspondence in Dirac Hamiltonians
• Topological creation and destruction of edge states in photonic graphene
• Disorder-induced Floquet Topological Insulators
• Bulk-edge correspondence for two-dimensional topological insulators
• Optical waveguide arrays: quantum effects and PT symmetry breaking
• Observations of zero-order bandgaps in negative-index photonic crystal superlattices at the near-infrared
• Defect Modes and Homogenization of Periodic Schrödinger Operators
• Homogenized description of defect modes in periodic structures with localized defects

Cited by in corpus (10)

• Topological Photonics
• Demonstrating an in-situ topological band transition in cylindrical granular chains
• Elliptic operators with honeycomb symmetry: Dirac points, Edge States and Applications to Photonic Graphene
• Finite size effects on topological interface states in one-dimensional scattering systems
• Hybrid topological guiding mechanisms for photonic crystal fibers
• Tunable three-way valley Hall energy-splitter: venturing beyond graphene-like structures
• Dirac operators and domain walls
• Continuum Schroedinger operators for sharply terminated graphene-like structures
• Nonlinear optical lattices with a void impurity
• Acoustic topological circuitry in square and rectangular phononic crystals