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Photonic topological states have revolutionized our understanding on the propagation and scattering of light. Recent discovery of higher-order photonic topological insulators opens an emergent horizon for zero-dimensional topological corner…

Applied Physics · Physics 2021-04-20 Li Zhang , Yihao Yang , Pengfei Qin , Qiaolu Chen , Fei Gao , Erping Li , Jian-Hua Jiang , Baile Zhang , Hongsheng Chen

We present a characterization of topological phases in photonic lattices. Our theory relies on a formal equivalence between the singular value decomposition of the non-Hermitian coupling matrix and the diagonalization of an effective…

Quantum Physics · Physics 2019-04-17 Diego Porras , Samuel Fernandez-Lorenzo

We show that it is possible to have a topological phase in two-dimensional quasicrystals without any magnetic field applied, but instead introducing an artificial gauge field via dynamic modulation. This topological quasicrystal exhibits…

Mesoscale and Nanoscale Physics · Physics 2017-05-29 Miguel A. Bandres , Mikael C. Rechtsman , Mordechai Segev

We show that topologically protected defect states can exist in open (leaky or lossy) systems even when these systems are topologically trivial in the closed limit. The states appear from within the continuum, thus in absence of a band gap,…

Mesoscale and Nanoscale Physics · Physics 2015-11-12 Simon Malzard , Charles Poli , Henning Schomerus

We perform full 3D topology optimization (in which "every voxel" of the unit cell is a degree of freedom) of photonic-crystal structures in order to find optimal omnidirectional band gaps for various symmetry groups, including fcc…

Computational Physics · Physics 2014-09-19 Han Men , Karen Y. K. Lee , Robert M. Freund , Jaime Peraire , Steven G. Johnson

Topological photonic states, inspired by robust chiral edge states in topological insulators, have recently been demonstrated in a few photonic systems, including an array of coupled on-chip ring resonators at communication wavelengths.…

Topological photonics holds the promise for enhanced robustness of light localization and propagation enabled by the global symmetries of the system. While traditional designs of topological structures rely on lattice symmetries, there is…

Topological photonic systems offer light transport that is robust against defects and disorder, promising a new generation of chip-scale photonic devices and facilitating energy-efficient on-chip information routing and processing. However,…

Designing photonic topological insulators is highly non-trivial because it requires inversion of band symmetries around the band gap, which was so far done using intuition combined with meticulous trial and error. Here we take a completely…

Mesoscale and Nanoscale Physics · Physics 2019-04-18 Rasmus E. Christiansen , Fengwen Wang , Ole Sigmund , Søren Stobbe

We demonstrate the existence of a spectrally narrow localized surface state, the so-called optical Tamm state, at the interface between a 1D magnetophotonic and non-magnetic photonic crystals. The state is spectrally located inside the…

Electromagnetic topological insulators have been explored extensively due to the robust edge states they support. In this work, we propose a topological electromagnetic system based on a line defect in topologically nontrivial photonic…

Optics · Physics 2019-08-27 Menglin L. N. Chen , Li Jun Jiang , Zhihao Lan , Wei E. I. Sha

Photonic components based on structured metallic elements show great potential for device applications where field enhancement and confinement of the radiation on a subwavelength scale is required. In this paper we report a detailed study…

This work extends the theory of topological protection to dispersive systems. This theory has emerged from the field of topological insulators and has been established for continuum models in both classical and quantum settings. It predicts…

Analysis of PDEs · Mathematics 2023-11-13 Konstantinos Alexopoulos , Bryn Davies

We study photonic crystal fibers and ring resonators with topological features induced by Aubry- Andre-Harper modulations of the cladding. We find non trivial gaps and edge states at the interface between regions with different Chern…

Optics · Physics 2020-04-22 Laura Pilozzi , Daniel Leykam , Zhigang Chen , Claudio Conti

Over the last few years, crystalline topology has been used in photonic crystals to realize edge- and corner-localized states that enhance light-matter interactions for potential device applications. However, the band-theoretic approaches…

Optics · Physics 2024-02-23 Alexander Cerjan , Terry A. Loring , Hermann Schulz-Baldes

Higher-order topological insulators are unusual materials that can support topologically protected states, whose dimensionality is lower than the dimensionality of the structure at least by 2. Among the most intriguing examples of such…

Topological lasing leverages concepts from topological physics to achieve single-mode light amplification within topological bandgaps, offering robustness against fabrication imperfections. Recent advances in microelectromechanical systems…

The supercell method is used to study the variation of the photonic bandgaps in one-dimensional photonic crystals under random perturbations to thicknesses of the layers. The results of both plane wave and analytical band structure and…

Optics · Physics 2009-11-11 H. S. Sozuer , K. Sevim

A theoretical study of photonic bands for one-dimensional (1D) lattices embedded in planar waveguides with strong refractive index contrast is presented. The approach relies on expanding the electromagnetic field on the basis of guided…

Soft Condensed Matter · Physics 2009-11-10 D. Gerace , L. C. Andreani

Based on a perturbative approach, we propose a simple and efficient method to engineer topological edge states in two dimensional magnetic photonic crystals. The topological edge states in the microstructures can be constructed and varied…

Optics · Physics 2017-12-29 Bing Yang , Tong Wu , Xiangdong Zhang