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We show a flaw in the photonic band structure which forms the basis of our understanding of crystal momentum in photonic systems. We investigate the origin of this flaw and propose a continuous-folded band structure as the rectification.…

General Physics · Physics 2022-06-28 Shahin Firuzi

Bound states in the continuum (BICs) have attracted attention in photonics owing to their interesting properties. For example, BICs can effectively confine light in a counter-intuitive way and the far-field radiation of photonic structures…

Optics · Physics 2024-07-30 Meng Kang , Tao Liu , C. T. Chan , Meng Xiao

Bound states in the continuum (BICs), which are confined optical modes exhibiting infinite quality factors and carrying topological polarization configurations in momentum space, have recently sparked significant interest across both…

Optics · Physics 2024-07-23 Xingqi Zhao , Jiajun Wang , Wenzhe Liu , Zhiyuan Che , Xinhao Wang , C. T. Chan , Lei Shi , Jian Zi

The question of how to continuously manipulate a photonic system between a radiating state and a bound state is an important challenge in photonics, as its solution promises broad technological relevance for optical sensors, modulators,…

Optics · Physics 2021-02-03 Andreas Henkel , Maik Meudt , Maximilian Buchmüller , Patrick Görrn

Bound states in the continuum (BICs) realized in two-dimensional (2D) photonic crystal slabs (PhCSs) have attracted considerable attentions, owing to the advantages in the fabrications and on-chip applications. The polarization vortex…

Optics · Physics 2022-04-25 Weimin Ye , Yang Gao , Jianlong Liu

Tunable bound states in the continuum (BICs) in photonic crystal slabs are highly sensitive to substrate-induced mirror-symmetry breaking and typically degrade into finite-$Q$ quasi-BICs in realistic integrated platforms. Here we show that…

Optics · Physics 2026-05-11 Hai Huang , Huiming Zhang , Biye Xie , Wengang Bi , Daquan Zhang

Polarization singularities including bound states in the continuum (BICs) and circularly polarized states have provided promising opportunities in the manipulation of light waves. Previous studies show that BICs in photonic crystal slabs…

Optics · Physics 2023-07-14 Qiao Jiang , Peng Hu , Jun Wang , Dezhuan Han , Jian Zi

Bound states in the continuum (BICs), known for their theoretically infinite quality (Q) factors and strong field localization, hold great promise for high-performance photonic devices. However, conventional true BICs typically rely on…

Optics · Physics 2026-02-25 Yiyun Yan , Yichao Liu , Fei Sun , Yuxin Zhou

Bound states in the continuum (BIC) have been studied mainly in optics. Recently, electronic BIC have been proposed. They appear as points in the momentum space and are protected topologically by the Chern number. In this study, we propose…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 Manabu Takeichi , Shuichi Murakami

The study of band topology in photonic crystals was primarily focused on near-field effects, including edge states and high order corner states. However, this work investigated the polarization distribution of radiated fields for photonic…

Optics · Physics 2024-08-27 Zhang Jiawei , Liu Andong , Wang Jin , Dong Zheng-Gao

Bound states in the continuum (BICs) are localized states existing within a continuous spectrum of delocalized waves. Emerging multilayer photonic integrated circuit (PIC) platforms allow implementation of low index 1D guided modes within a…

Optics · Physics 2024-05-22 Kyunghun Han , Thomas W. LeBrun , Vladimir A. Aksyuk

We investigate the formation of photonic bound states in the continuum (BICs) in photonic crystal slabs from an analytical perspective. Unlike the stationary at-$\Gamma$ BICs which origin from the geometric symmetry, the tunable…

Optics · Physics 2014-07-22 Yi Yang , Chao Peng , Yong Liang , Zhengbin Li , Susumu Noda

Bound states in the continuum (BICs) are radiationless localized states embedded in the part of the parameter space that otherwise corresponds to radiative modes. Many decades after their original prediction and early observations in…

Optics · Physics 2019-09-25 Jordi Gomis-Bresco , David Artigas , Lluis Torner

Optical bound states in the continuum (BICs), which are exotic localized eigenstates embedded in the continuum spectrum and topological polarization singularity in momentum space, have attracted great attentions in both fundamental and…

Optics · Physics 2024-07-02 Qing-an Tu , Hongxin Zhou , Yan Meng , Maohua Gong , Zhen Gao

Bound states in the continuum (BICs) in photonic crystal slabs represent the resonances with an infinite quality(Q)-factor, occurring above the light line for an infinitely periodic structure. We show that a set of BICs can turn into…

Optics · Physics 2017-08-02 Alireza Taghizadeh , Il-Sug Chung

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…

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…

Mathematical Physics · Physics 2026-05-26 Ya Yan Lu , Jiaxin Zhou

A general symmetry-controlled mechanism is proposed for realizing dual flat-bands of bound state in the continuum (BIC) and its radiative counterpart in photonic crystal slabs. By breaking the vertical mirror symmetry of slab,…

Optics · Physics 2026-01-27 Jiayao Liu , Zimeng Zeng , Zhuoyang Li , Zelong He , Zhaona Wang

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) have greatly impacted our ability to manipulate light-matter interaction at the nanoscale. However, in periodic structures, BICs are typically realized below the diffraction limit, thus leaving a broad…

Optics · Physics 2026-01-13 Ji Tong Wang , Nicolae C. Panoiu
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