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We present simple yet extremely accurate coupled-wave models describing the formation of bound states in the continuum (BICs) in 1D-periodic guided-mode resonant gratings (GMRGs) consisting of a slab waveguide layer with a binary grating…

Optics · Physics 2019-06-12 Dmitry A. Bykov , Evgeni A. Bezus , Leonid L. Doskolovich

A bound state in the continuum (BIC) is an eigenmode with the corresponding eigenvalue embedded in the continuous spectrum. There is currently a significant research interest on BICs in the photonics community, because they can be used to…

Optics · Physics 2025-04-29 Xiuchen Yu , Ya Yan Lu

In this paper, we present a novel universal coupled theory for metamaterial Bound states in the continuum (BIC) or quasi-Bound states in the continuum (quasi-BIC) which provides ultra-high Q resonance for metamaterial devices. Our theory…

Optics · Physics 2021-09-22 Wei Huang , Songyi Liu , Jiaguang Han , Yu Cheng , Shan Yin , Wentao Zhang

Bound states in the continuum (BICs) are ubiquitous in many areas of physics, attracting especial interest for their ability to confine waves with infinite lifetimes. Metasurfaces provide a suitable platform to realize them in photonics;…

Quasi-bound states in the continuum (q-BICs) are resonant states of suitably tailored nanostructures with long optical lifetimes controlled by symmetry-breaking perturbations. While in planarized ultrathin devices the resulting Fano…

Optics · Physics 2021-02-24 Adam Overvig , Nanfang Yu , Andrea Alu

We analytically predict and numerically demonstrate the existence of a family of bound modes in the continuum (BICs) in bi-layered spring mass chains. A coupled array of such chains is then used to illustrate transversely bound waves…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Adib Rahman , Raj Kumar Pal

We show that a circular periodic array of $N$ dielectric cylinders supports nearly bound states in the continuum (BICs) propagating along the cylinders. These propagating nearly BICs with extremely large $Q$ factors of order $exp(\lambda…

Optics · Physics 2018-08-08 Evgeny N. Bulgakov , Almas F. Sadreev

Bound states in the continuum (BICs) enable unique features in tailoring light-matter interaction on nanoscale. These radiationless localized states drive theoretically infinite quality factors and lifetimes for modern nanophotonics, making…

Bound states in the continuum (BICs) emerge throughout Physics as leaky/resonant modes that remain however highly localized. They have attracted much attention in Optics and Photonics, and especially in metasurfaces, i.e. planar arrays of…

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…

Optics · Physics 2023-11-27 Nan Zhang , Ya Yan Lu

In this work, we develop a perturbation theory to analyze resonant states near a bound state in the continuum (BIC) in photonic crystal slabs. The theory allows us to rigorously determine the asymptotic behavior of $Q$-factor and the…

Optics · Physics 2024-12-10 Nan Zhang , Ya Yan Lu

Light can be influenced by permittivity changes in optical resonators, enabling optical sensors, modulators and optical switches. It is straightforward that a high relative change of intensity per change of permittivity, labelled as figure…

Optics · Physics 2020-08-13 Maik Meudt , Chakan Bogiadzi , Kevin Wrobel , Patrick Görrn

Bound states in the continuum (BICs) arise from destructive interference suppressing radiation despite spectral overlap with the continuum. Here we show that Friedrich--Wintgen interference naturally emerges from a bright--dark supermode…

Optics · Physics 2026-05-13 Sergio Balestrieri , Bruno Miranda , Silvia Romano , Gianluigi Zito

This paper presents a rigorous mathematical analysis for symmetry-based Bound States in the Continuum (BICs) in optical waveguide arrays. Different from existing research, we consider a finite system of horizontally and equidistantly…

Optics · Physics 2025-12-25 Xin Feng , Wei Wu

Bound states in the continuum (BICs) are a fascinating class of eigenstates that trap energy within the continuum, enabling breakthroughs in ultra-low-threshold lasing, high-Q sensing, and advanced wave-matter interactions. However, their…

Applied Physics · Physics 2026-04-29 Sheng-Nan Liang , Zhen-Hui Qin , Shu-Mao Wu , Hua-Yang Chen , Si-Yuan Yu , Yan-Feng Chen

We develop a formalism, based on the mode expansion method, to describe the guided resonances and bound states in the continuum (BICs) in photonic crystal slabs with one-dimensional periodicity. This approach provides analytic insights to…

Bound states in the continuum (BICs) are quantum states with normalizable wave functions and energies that lie within the continuous spectrum for which extended or dispersive states are also available. These special states, which have shown…

Mesoscale and Nanoscale Physics · Physics 2024-07-29 Ricardo Y. Díaz-Bonifaz , Carlos Ramírez

Elusive features in photonic and electronic devices can be detected by means of advanced, time-domain spectroscopic techniques. In this letter we introduce a novel kind of modulation spectroscopy, based on the optomechanical interaction of…

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

We find the phase-controlled bound state out of the continuum~(BOC) and bound state in the continuum~(BIC) in an artificial giant atom dressed one-dimensional photonic waveguide where the giant atom couples to the waveguide via two distant…

Quantum Physics · Physics 2024-10-22 Xiaojun Zhang , Mingjie Zhu , Zhihai Wang
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