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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…

Finite topologically non-trivial systems are often characterised by the presence of bound states at their physical edges. These topological edge modes can be distinguished from usual Shockley waves energetically, as their energies remain…

Quantum Gases · Physics 2018-08-31 Callum W. Duncan , Patrik Öhberg , Manuel Valiente

Optical nanocavities for coherent interfaces usually have their electric field maximum at the center point, which normally benefits interactions with small local quantum emitters. Here, we propose a partial thickness modulation on 2D slab…

Optics · Physics 2019-06-25 Chenjiang Qian , Xin Xie , Jingnan Yang , Xiulai Xu

Recent experimental discoveries of graphene-stabilized patches of two-dimensional (2D) metals have motivated also their computational studies. However, so far the studies have been restricted to ideal and infinite 2D metallic monolayers,…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Janne Nevalaita , Pekka Koskinen

We propose a class of waveguides operating near cutoff such that electromagnetic energy is mainly bound to the cladding rather than the dielectric core to achieve subdiffraction confinement of light. The cladding incorporates an alternating…

Optics · Physics 2014-12-04 C. H. Gan

We theoretically study the problem of detecting dipole radiation in an optical system of high numerical aperture in which the detector is sensitive to \textit{field amplitude}. In particular, we model the phase sensitive detector as a…

By means of the transfer matrix method, the optical properties of fibers with a distinct intermediate layer between a hol-low core and periodic cladding are calculated. The periodic cladding consists of two types of the alternating layers.…

Optics · Physics 2016-12-21 Yurii A. Zinin , Andrey V. Panov , Yurii N. Kulchin

Optical second-harmonic generation (SHG) is studied for the confined geometry of a circular cylindrical waveguide or optical fiber. A model situation of high symmetry is considered where the material with nonlinear susceptibility is…

Optics · Physics 2013-09-17 B. U. Felderhof , G. Marowsky

Heterostructures are ubiquitous in many optoelectronic devices and as photocatalysts. One of the key features of a heterojunction is the proper band alignment between the two materials. Estimation of the correct relative band positions with…

Mesoscale and Nanoscale Physics · Physics 2024-08-13 Raheel Hammad , Snehith Adabala , Soumya Ghosh

We propose an exactly solvable waveguide lattice incorporating inhomogeneous coupling coefficient. This structure provides a classical analogue to the squeezed number and squeezed coherent intensity distribution in quantum optics where the…

Periodic networks on the verge of mechanical instability, called Maxwell lattices, are known to exhibit zero-frequency modes localized to their boundaries. Topologically polarized Maxwell lattices, in particular, focus these zero modes to…

Soft Condensed Matter · Physics 2022-11-30 Mohammad Charara , James McInerney , Kai Sun , Xiaoming Mao , Stefano Gonella

Bloch wavefunctions are used to derive dispersion relations for water wave propagation in the presence of an infinite array of periodically arranged surface scatterers. For one dimensional periodicity (stripes), band gaps for wavevectors in…

Condensed Matter · Physics 2007-05-23 Tom Chou

Topological lasers based on topologically protected edge states offer unique features and enhanced robustness of operation in comparison with conventional lasers, even in the presence of disorder, edge deformation, and localized defects.…

The multiple scattering formalism is proposed describing the guided modes in the optical waveguide array within the framework of macroscopic electrodynamics. It is shown that, under sufficiently general assumptions, our approach justifies…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 M. I. Gozman , I. Ya Polishchuk

In this article we suggest a fast multi-scale edge-detection scheme for medical ultrasound signals. The edge-detector is based on well-known properties of the continuous wavelet trans- form. To achieve both good localization of edges and…

Computer Vision and Pattern Recognition · Computer Science 2011-07-27 Preben Gråberg Nes

We formulate and demonstrate experimentally the high-resolution spectral method based on Bloch-wave symmetry properties for extracting mode dispersion in periodic waveguides from measurements of near-field profiles. We characterize both the…

We study the problem of constructing bulk and surface embedded modes (EMs) inside the quasi-continuum band of a square lattice, using a potential engineering approach \`a la Wigner and von Neumann. Building on previous results for the…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Mario I. Molina

The bulk-boundary correspondence is an integral feature of topological analysis and the existence of boundary or interface modes offers direct insight into the topological structure of the Bloch wave function. While only the topology of the…

Strongly Correlated Electrons · Physics 2022-11-28 Chang-geun Oh , Doohee Cho , Se Young Park , Jun-Won Rhim

We analyze nonlinear collective effects near surfaces of semi-infinite periodic systems with multi-gap transmission spectra and introduce a novel concept of multi-gap surface solitons as mutually trapped surface states with the components…

Edge points on 3D point clouds can clearly convey 3D geometry and surface characteristics, therefore, edge detection is widely used in many vision applications with high industrial and commercial demands. However, the fine-grained edge…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Yifei Xie , Zhikun Tu , Tong Yang , Yuhe Zhang , Xinyu Zhou
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