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On periodic structures, a bound state in the continuum (BIC) is a standing or propagating Bloch wave with a frequency in the radiation continuum. Some BICs (e.g., antisymmetric standing waves) are symmetry-protected, since they have…

光学 · 物理学 2018-04-23 Lijun Yuan , Ya Yan Lu

We consider the diffraction of time-harmonic plane waves by a periodic structure, governed by the Helmholtz equation. Bound states in the continuum (BICs) are quasi-periodic fields that remain $L^{2}$-bounded over one period and occur at…

数学物理 · 物理学 2026-05-26 Ya Yan Lu , Jiaxin Zhou

For a periodic structure sandwiched between two homogeneous media, a bound state in the continuum (BIC) is a guided Bloch mode with a frequency in the radiation continuum. Optical BICs have found many applications, mainly because they give…

光学 · 物理学 2021-04-14 Lijun Yuan , Ya Yan Lu

In a lossless periodic structure, a bound state in the continuum (BIC) is characterized by a real frequency and a real Bloch wavevector for which there exist waves propagating to or from infinity in the surrounding media. For applications,…

光学 · 物理学 2022-08-17 Amgad Abdrabou , Ya Yan Lu

Bound states in the continuum (BICs) defy conventional wisdom that assumes a spectral separation between propagating waves, that carry energy away, and spatially localized waves corresponding to discrete frequencies. They can be described…

光学 · 物理学 2024-08-12 Cheng-Zhen Wang , Ulrich Kuhl , Adin Dowling , Holger Schanz , Tsampikos Kottos

On a lossless periodic dielectric structure sandwiched between two homogeneous media, bound states in the continuum (BICs) with real frequencies and real Bloch wavevectors may exist, and they decay exponentially in the surrounding…

光学 · 物理学 2020-01-15 Zhen Hu , Lijun Yuan , Ya Yan Lu

For optical waveguides with a layered background which itself is a slab waveguide, a guided mode is a bound state in the continuum (BIC), if it coexists with slab modes propagating outwards in the lateral direction; i.e., there are lateral…

光学 · 物理学 2023-11-27 Nan Zhang , Ya Yan Lu

Bound states in the continuum (BICs) have some unusual properties and important applications in photonics. A periodic structure sandwiched between two homogeneous media is the most popular platform for observing BICs and realizing their…

光学 · 物理学 2021-09-01 Lijun Yuan , Ya Yan Lu

I review the four mechanisms of bound states in the continuum (BICs) in application to microwave and acoustic cavities open to directional waveguides. The most simple are the symmetry protected BICs which are localized inside the cavity…

量子物理 · 物理学 2021-05-26 Almas F. Sadreev

We investigate the diffraction of guided modes of a dielectric slab waveguide on a simple integrated structure consisting of a single dielectric ridge on the surface of the waveguide. Numerical simulations based on aperiodic rigorous…

光学 · 物理学 2018-11-05 Evgeni A. Bezus , Dmitry A. Bykov , Leonid L. Doskolovich

A bound state in the continuum (BIC) is an unusual localized state that is embedded in a continuum of extended states. Here, we present the general condition for BICs to arise from wave equation separability and show that the directionality…

Bound states in the continuum (BICs) are trapped or guided modes with their frequencies in the frequency intervals of the radiation modes. On periodic structures, a BIC is surrounded by a family of resonant modes with their quality factors…

光学 · 物理学 2018-04-18 Lijun Yuan , Ya Yan Lu

Bound states in the continuum (BIC) have been at the forefront of research in optics and photonics over the past decade. It is of great interest to study the effects associated with quasi-BICs in the simplest structures, where quasi-BICs…

光学 · 物理学 2021-10-26 Nikolay Solodovchenko , Kirill Samusev , Daria Bochek , Mikhail Limonov

Bound states in the continuum (BICs) are non-radiating solutions of the wave equation with a spectrum embedded in the continuum of propagating waves of the surrounding space. The complete decoupling of BICs from the radiation continuum…

光学 · 物理学 2021-07-07 Alexander Chukhrov , Sergey Krasikov , Alexey Yulin , Andrey Bogdanov

The phenomenon of bound state in the continuum (BIC) with infinite quality factor and lifetime has emerged in recent years in photonics as a new tool of manipulating light-matter interactions. However, most of the investigated structures…

光学 · 物理学 2022-06-22 Kaili Sun , Hui Jiang , Dmitry A. Bykov , Vien Van , Uriel Levy , Yangjian Cai , Zhanghua Han

Bound states in the continuum (BICs) refer to physical states that possess intrinsic zero dissipation loss even though they are located in the continuous energy spectrum. BICs have been widely explored in optical and acoustic structures,…

应用物理 · 物理学 2021-09-21 Yue Yu , Xiang Xi , Xiankai Sun

We unveil the existence of two-particle bound state in the continuum (BIC) in a one-dimensional interacting nonreciprocal lattice with a generalized boundary condition. By applying the Bethe-ansatz method, we can exactly solve the…

量子气体 · 物理学 2025-04-08 Yanxia Liu , Shu Chen

Various optical phenomena can be induced in periodic arrays of nanoparticles by the radiative coupling of the local dipoles in each particle. Probably the most impressive example is bound states in the continuum (BICs), which are…

Bound states in the continuum (BICs) have been extensively exploited to enhance light--matter interactions in metamaterials, yet their emergence and utility in multi-atom waveguide platforms remain far less explored. Here we study…

量子物理 · 物理学 2025-12-09 Xiang Guo , Xiaojun Zhang , Mingzhu Weng , Qian Bin , Hao-di Liu , Hai-Jun Xing , Xin-You Lü , Zhihai Wang

The concept of optical bound states in the continuum (BICs) underpins the existence of strongly localized waves embedded into the radiation spectrum that can enhance the electromagnetic fields in subwavelength photonic structures. Early…

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