Abstract
Abstract The topological properties of photonic microstructures are of great interest because of their experimental feasibility for fundamental study and potential applications. Here, we show that robust guided-mode-resonance states exist in photonic domain-wall structures whenever the complex photonic band structures involve certain topological correlations in general. Using the non-Hermitian photonic analogy of the one-dimensional Dirac equation, we derive essential conditions for photonic Jackiw-Rebbi-state resonances taking advantage of unique spatial confinement and spot-like spectral features which are remarkably robust against random parametric errors. Therefore, the proposed resonance configuration potentially provides a powerful method to create compact and stable photonic resonators for various applications in practice.
Highlights
Non-Hermitian and topological properties in photonic structures attract considerable attention as they are related to exotic optical phenomena resulting from the parity-time symmetry and topological interaction properties
Confirming the topological transition of a secondorder GMR grating depending on sgn(κ1 − κ2), we provide complex-frequency band structure, spatial-symmetry of the photonic eigenvector |ψ⟩, and key parameters depending on topology-adjusting parameter δ, as shown in Figure 1(b)–(d). δ is defined such that refractive index of the grating bars nc = nd + δ with nd = εd1/2 denoting refractive index of the surrounding medium and fill factor F =/(2δ)
Jackiw-Rebbi state in second-order GMR gratings can be considered as a promising guided-mode resonance state which is localized in space, frequency, and angular domains, as we will show further
Summary
Non-Hermitian and topological properties in photonic structures attract considerable attention as they are related to exotic optical phenomena resulting from the parity-time symmetry and topological interaction properties. The optical analogy of the Jackiw-Rebbi states and associated phenomena have been studied in various structures including channel waveguide arrays [15], coupled ring-resonator optical waveguides [16], magneto-electric Mie-resonance particle chains [17], and polaritonic micro-cavity lattices [18, 19]. In these structures, desired topological coupling configurations are directly coded in optical synthetic atoms by means of interatom interactions of electromagnetic wave functions localized in the explicit position-space domain. We show remarkable stability of this topological GMR effect against random parametric errors in the lattice’s structure geometry
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