2015
DOI: 10.1364/ol.40.005259
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Determination of Zak phase by reflection phase in 1D photonic crystals

Abstract: For a one-dimensional (1D) periodic system with inherent mirror symmetry, the value of the geometric "Zak" phase in a bulk band is related to the sign of reflection phase for wavelengths inside the bandgaps sandwiching the bulk band. Here, we designed an interference setup which allows us to measure the reflection phase of 1D phonic crystal fabricated for the optical range; this, in turn, enabled us to determine the Zak phases of the bands. We then found interface states whose existence can be traced to the to… Show more

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Cited by 88 publications
(43 citation statements)
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“…In our experiment, one unit cell of Type I photonic crystals with the inversion center chosen at the low refractive index material, i.e. PC_A, PC_B, and PC_C, contains two half layers of [17].…”
Section: Sample Fabrication and Characterizationmentioning
confidence: 99%
See 1 more Smart Citation
“…In our experiment, one unit cell of Type I photonic crystals with the inversion center chosen at the low refractive index material, i.e. PC_A, PC_B, and PC_C, contains two half layers of [17].…”
Section: Sample Fabrication and Characterizationmentioning
confidence: 99%
“…We followed the same procedures as reported earlier, using a thick-gap Fabry-Perot technique, to determine the reflection phases, and hence the Zak phases, of the PCs [16,17]. To measure the reflection phase we placed a thick (~1cm) optically flat glass at ~10-20m above the PC to form an air-gap Fabry-Perot etalon.…”
Section: Determination Of Reflection Phasementioning
confidence: 99%
“…Tamm plasmons are surface states that can exist on the interface between the metal surface and a dielectric Bragg mirror (i.e., a one-dimensional photonic crystal). The existence of Tamm plasmon states is protected by the topological propertiesmanifested as geometrical Zak phasesof the optical bands of the photonic crystal [33][34][35][36] rather than by the Jordan's theorem as for the effective-index-matched thin films. The Tamm plasmon sensors can be easily designed to operate at a chosen frequency (or multiple frequencies), can be composed of a variety of plasmonic and dielectric materials, are amenable to fast and large-scale fabrication by either sputtering of vapor deposition techniques, and have high tolerance to fabrication imperfections [22,37].…”
Section: Introductionmentioning
confidence: 99%
“…Topologically protected edge states in photonic crystals show great potential for applications in the fields of integrated photonic circuits and ultrahigh‐speed information processing chips owing to their unique properties including the elimination of backscattering and immunity to structural disorder. Various approaches have been proposed to demonstrate topological edge modes in photonic crystals, such as the use of 1D dielectric photonic crystals, 1D lattices of evanescently coupled optical waveguide, diatomic chains of nanoparticles, 2D photonic crystals composed of ferromagnetic garnet rods or high‐dielectric cylinders, honeycomb photonic lattices, photonic crystals (PCs) with C 6 v symmetry, and 3D gyroid photonic crystals . The topological edge state (TES) plays a key role in the study of topological physics for bulk‐edge correspondence.…”
Section: Introductionmentioning
confidence: 99%
“…Chan et al first used the Zak phase to predict the photonic TES in the 1D PC heterostructure system. The method they proposed was convenient for designing a TES in different bandgaps of the 1D PC heterostructure . The edge local TES can induce photons to transmit through the PCs at frequencies in the bandgap, which offers a new way to control photon transportation.…”
Section: Introductionmentioning
confidence: 99%