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Solitary waves bifurcated from edges of Bloch bands in two-dimensional periodic media are determined both analytically and numerically in the context of a two-dimensional nonlinear Schr\"odinger equation with a periodic potential. Using…

Pattern Formation and Solitons · Physics 2009-11-13 Zuoqiang Shi , Jianke Yang

We report on the observation of a topologically protected edge state at the interface between two topologically distinct domains of the Su-Schrieffer-Heeger model, which we implement in arrays of evanescently coupled dielectric-loaded…

Quantum Physics · Physics 2017-07-18 Felix Bleckmann , Zlata Cherpakova , Stefan Linden , Andrea Alberti

We study the low-energy edge states of a superconductor -- 3D topological-insulator hybrid structure (NS junction) in the presence of a perpendicular magnetic field. The hybridization of electron-like and hole-like Landau levels due to…

Mesoscale and Nanoscale Physics · Physics 2014-10-10 Rakesh P. Tiwari , U. Zülicke , C. Bruder , Vladimir M. Stojanović

We show that edge states similar to those known for topological insulators exist in two-dimensional electron system with one-band spectrum in the presence of heterogeneous spin-orbit interaction (SOI). These states appear at boundaries…

Mesoscale and Nanoscale Physics · Physics 2010-11-17 Aleksei A. Sukhanov , Vladimir A. Sablikov

We investigate the edge state of a two-dimensional topological insulator based on the Kane-Mele model. Using complex wave numbers of the Bloch wave function, we derive an analytical expression for the edge state localized near the edge of a…

Mesoscale and Nanoscale Physics · Physics 2014-08-21 Hyeonjin Doh , Gun Sang Jeon , Hyoung Joon Choi

Topology-linked binary degrees of freedom of guided waves have been used to expand the channel capacity of and to ensure robust transmission through photonic waveguides. However, selectively exciting optical modes associated with the…

Optics · Physics 2022-06-15 Yandong Li , Yang Yu , Kueifu Lai , Yuchen Han , Fei Gao , Baile Zhang , Gennady Shvets

Surface optical plasmons on metal-dielectric boundaries of various shapes are studied. The study features by the exploration of plasmons of the frequency that is larger than $\omega_{pl}/\sqrt{2}$ and approximately equal to $\omega _{pl}$.…

Optics · Physics 2007-06-13 V. S. Zuev , H. Ya. Zueva

Topological photonics sheds light on some of the surprising phenomena seen in condensed matter physics that arise with the appearance of topological invariants. Optical waveguides provide a well-controlled platform to investigate effects…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Adrian J Menssen , Jun Guan , David Felce , Martin J Booth , Ian A Walmsley

Meta--surfaces are the bidimensional analogue of metamaterials. They are made on resonant elements periodically disposed on a surface. They have the ability of controlling the polarization of light and to generalized refraction laws as…

Mesoscale and Nanoscale Physics · Physics 2014-11-25 Didier Felbacq

The spectrum and wave function of helical edge modes in Z_2 topological insulator are derived on a square lattice using Bernevig-Hughes-Zhang (BHZ) model. The BHZ model is characterized by a "mass" term M (k) that is parameterized as M (k)…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Ken-Ichiro Imura , Ai Yamakage , Shijun Mao , Akira Hotta , Yoshio Kuramoto

Implementation of topology on photonics has opened new functionalities of photonic systems such as topologically protected boundary modes. We present polarization-dependent topological properties in 2D Su-Schrieffer-Heeger lattice by using…

Optics · Physics 2019-09-04 Minkyung Kim , Junsuk Rho

We present a family of localized radiation modes in multilayered periodic media, where in-phase superposition of p-polarized waves leads to radiative confinement around the beam axis. Excitation of surface plasmon polaritons yields an…

Optics · Physics 2010-01-20 Juan J. Miret , Carlos J. Zapata-Rodriguez

Multimode silicon photonics, leveraging mode-division multiplexing technologies, offers significant potential to increase capacity of large-scale multiprocessing systems for on-chip optical interconnects. These technologies have…

The Bloch oscillations in the zigzag array of the optical waveguides are considered. The multiple scattering formalism (MSF) is used for the numerical simulation of the optical beam which propagates within the array. The effect of the…

Mesoscale and Nanoscale Physics · Physics 2015-01-29 V. S. Babichenko , M. I. Gozman , Yu. M. Kagan , I. Ya. Polishchuk , E. A Tsyvkunova

We investigate fundamental localized modes in 2D lattices with an edge (surface). Interaction with the edge expands the stability area for ordinary solitons, and induces a difference between perpendicular and parallel dipoles; on the…

Pattern Formation and Solitons · Physics 2010-12-10 H. Susanto , P. G. Kevrekidis , B. A. Malomed , R. Carretero-Gonzalez , D. J. Frantzeskakis

The surface modes of a composite consisting of aligned metallic wires with square cross sections are investigated, on the basis of photonic band structure calculations. The effective long-wavelength dielectric response function is computed,…

Materials Science · Physics 2009-10-31 J. M. Pitarke , F. J. Garcia-Vidal , J. B. Pendry

Solitons in the fractional space, supported by lattice potentials, have recently attracted much interest. We consider the limit of deep one- and two-dimensional (1D and 2D) lattices in this system, featuring finite bandgaps separated by…

Optics · Physics 2022-01-10 Xiuye Liu , Boris A. Malomed , Jianhua Zeng

We study localized modes on a single Ablowitz-Ladik impurity embedded in the bulk or at the surface of a one-dimensional linear lattice. Exact expressions are obtained for the bound state profile and energy. Dynamical excitation of the…

Exactly Solvable and Integrable Systems · Physics 2009-11-13 M. I. Molina

We study the topological photonic states in one-dimensional (1-D) lattices analogue to the Su-Schrieffer-Heeger (SSH) model beyond the dipole approximation. The electromagnetic resonances of the lattices supported by near-field interactions…

Mesoscale and Nanoscale Physics · Physics 2022-06-23 Raymond P. H. Wu , H. C. Ong

Edge detection is a fundamental technique in various computer vision tasks. Edges are indeed effectively delineated by pixel discontinuity and can offer reliable structural information even in textureless areas. State-of-the-art heavily…

Computer Vision and Pattern Recognition · Computer Science 2024-01-05 Leng Kai , Zhang Zhijie , Liu Jie , Zed Boukhers , Sui Wei , Cong Yang , Li Zhijun
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