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The proposition that band geometry alone can protect optical states against disorder has proven not merely theoretically elegant but experimentally incontrovertible. A key attribute of photonic topological systems is their capacity to…

Photonic time crystals (PTCs) are materials whose dielectric permittivity is periodically modulated in time, giving rise to bandgaps not in energy-as in conventional photonic crystals-but in momentum, known as k-gaps. These k-gaps enable…

Interface states in a 1-D photonic crystal heterostructure with multiple interfaces are examined. It is found that the behavior of the localized modes in the photonic band gaps is dependent on whether there is an even or odd number of…

Optics · Physics 2020-06-24 Nicholas J. Bianchi , Leonard M. Kahn

Topological photonics has attracted widespread research attention in the past decade due to its fundamental interest and unique manner in controlling light propagation for advanced applications. Paradigmatic approaches have been proposed to…

Topological photonics has emerged as a novel route to engineer the flow of light. Topologically-protected photonic edge modes, which are supported at the perimeters of topologically-nontrivial insulating bulk structures, have been of…

We present an all-dielectric photonic crystal structure that supports two-dimensionally confined helical topological edge states. The topological properties of the system are controlled by the crystal parameters. An interface between two…

Topological edge states exist at the interfaces between two topologically-distinct materials. The presence and number of such modes are deterministically predicted from the bulk-band topologies, known as the bulk-edge correspondence. This…

Entangled multiphoton states lie at the heart of quantum information, computing, and communications. In recent years, topology has risen as a new avenue to robustly transport quantum states in the presence of fabrication defects, disorder…

We show theoretically that, in the limit of weak dispersion, one-dimensional (1D) binary centrosymmetric photonic crystals can support topological edge modes in all photonic band gaps. By analyzing their bulk band topology, these "harmonic"…

Mesoscale and Nanoscale Physics · Physics 2016-04-05 Ka Hei Choi , C. W. Ling , K. F. Lee , Y. H. Tsang , Kin Hung Fung

Topological optical states exhibit unique immunity to defects and the ability to propagate without losses rendering them ideal for photonic applications.A powerful class of such states is based on time-reversal symmetry breaking of the…

Optics · Physics 2018-02-07 Deng Pan , Rui Yu , Hongxing Xu , F. Javier García de Abajo

Topological phenomena in non-Hermitian systems have recently become a subject of great interest in the photonics and condensed-matter communities. In particular, the possibility of observing topologically-protected edge states in…

Mesoscale and Nanoscale Physics · Physics 2020-04-02 Pablo Reséndiz-Vázquez , Konrad Tschernig , Armando Perez-Leija , Kurt Busch , Roberto de J. León-Montiel

We present a theory of topological edge states in one-dimensional resonant photonic crystals with a compound unit cell. Contrary to the traditional electronic topological states the states under consideration are radiative, i.e., they decay…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 A. V. Poshakinskiy , A. N. Poddubny , L. Pilozzi , E. L. Ivchenko

Topological photonic systems, with their ability to host states protected against disorder and perturbation, allow us to do with photons what topological insulators do with electrons. Topological photonics can refer to electronic systems…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Marie S. Rider , Samuel J. Palmer , Simon R. Pocock , Xiaofei Xiao , Paloma Arroyo Huidobro , Vincenzo Giannini

The introduction of topological concepts to the design of photonic crystal cavities holds great promise for applications in integrated photonics due to the prospect of topological protection. This study examines the signatures of…

Hybrid photonic nanostructures allow the engineering of novel interesting states of light. One recent example is topological photonic crystals where a nontrivial Berry phase of the photonic band structure gives rise to topologically…

Quantum Physics · Physics 2014-12-17 Matouš Ringel , Mikhail Pletyukhov , Vladimir Gritsev

Topological photonic crystal waveguides can create edge states that may be more robust against fabrication disorder, and can yield propagation modes below the light line. We present a fully three-dimensional method to modify…

Optics · Physics 2021-04-19 Eric Nussbaum , Erik Sauer , Stephen Hughes

Topological defects (TDs) in crystal lattices are elementary lattice imperfections that cannot be removed by local perturbations, due to their real space topology. We show that adding TDs into a valley photonic crystal generates a lattice…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Qiang Wang , Haoran Xue , Baile Zhang , Y. D. Chong

We study the bandgap structure of two-dimensional photonic crystals created by a triangular lattice of rotated hexagonal holes, and explore the effects of the reduced symmetry in the unit-cell geometry on the value of the absolute bandgap…

Classical Physics · Physics 2007-05-23 Aaron F. Matthews , Sergei F. Mingaleev , Yuri S. Kivshar

We report the design of silica-based 1D phononic crystals (PnCs) with topologically distinct complete phononic bandgaps (PnBGs) and the observation of a topologically protected state of elastic waves at their interface. By choosing…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Ingi Kim , Satoshi Iwamoto , Yasuhiko Arakawa

Light localization and intensity enhancement in a woodpile layer-by-layer photonic crystal, whose interlayer distance along the propagation direction is gradually varied, has been theoretically predicted and experimentally demonstrated. The…

Optics · Physics 2017-07-17 Zeki Hayran , Hamza Kurt , Kestutis Staliunas