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In periodic structures such as photonic crystal (PhC) slabs, a bound state in the continuum (BIC) is always surrounded by resonant states with their $Q$-factor following $Q\sim 1/|{\bm \beta}-{\bm \beta}_*|^{2p}$, where ${\bm \beta}$ and…

Optics · Physics 2025-05-02 Nan Zhang , Ya Yan Lu

Bound states in the continuum (BICs) are localized electromagnetic modes within the continuous spectrum of radiating waves. Due to their infinite lifetimes without radiation losses, BICs are driving research directions in lasing, non-linear…

Optics · Physics 2023-06-02 Luca M. Berger , Martin Barkey , Stefan A. Maier , Andreas Tittl

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;…

Bound state in the continuum (BIC) is a mathematical concept with an infinite radiative quality factor (Q) that exists only in an ideal infinite array. It was first proposed in quantum mechanics, and extended to general wave phenomena such…

Optics · Physics 2019-01-17 Longqing Cong , Ranjan Singh

We study bound states embedded into the continuum of edge states in two-dimensional topological insulators. These states emerge in the presence of a short-range potential of a structural defect coupled to the boundary. In this case the edge…

Mesoscale and Nanoscale Physics · Physics 2015-07-09 Vladimir A. Sablikov , Aleksei A. Sukhanov

One-dimensional crystals serve as a versatile platform for engineering nontrivial states, which can be easily explored in transport configurations. In this work, we analyze the properties of a periodic structure composed of an H-shaped unit…

Quantum Physics · Physics 2026-03-19 Sofía Pinto , P. A. Orellana , Sergio Bravo

In this work, we investigate the bound states in the continuum (BIC) of a one-dimensional spin-1 flat band system. It is found that, when the potential is sufficiently strong, there exists an effective attractive potential well surrounded…

Quantum Gases · Physics 2022-07-12 Yi-Cai Zhang

A bound state in the continuum (BIC) is a localized state of an open structure with access to radiation channels, yet it remains highly confined with, in theory, infinite lifetime and quality factor. There have been many realizations of…

Bound states in continuum (BICs) are localized states of a system possessing significantly large life times with applications across various branches of science. In this work, we propose an expedient protocol to engineer BICs which involves…

Quantum Physics · Physics 2024-04-16 Qingtian Miao , Jayakrishnan M. P. Nair , Girish S. Agarwal

Bound states in the continuum (BICs), an emerging type of long-lived resonances different from the cavity-based ones, have been explored in several classical systems, including photonic crystals and surface acoustic waves. Here, we reveal…

Optics · Physics 2019-04-02 Mengdi Zhao , Kejie Fang

We discuss the recent advances in meta-optics and nanophotonics associated with the physics of bound states in the continuum (BICs). Such resonant states appear due to a strong coupling between leaky modes in optical guiding structures…

Optics · Physics 2018-10-23 Kirill Koshelev , Andrey Bogdanov , Yuri Kivshar

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…

A theory based on the superposition principle is developed to uncover the basic physics of the wave behavior in a finite grating of N unit cells. The theory reveals that bound states in the continuum (BICs) of infinite quality factor…

Optics · Physics 2024-11-20 Huawei Liang , Yuanzhi Liu , Yu-Jia Zeng , Yangjian Cai , Tingyin Ning

It is known that the superposition of two bound states in the continuum (BIC) leads to the phenomenon of an oscillating bound state, where excitations mediated by the continuum modes oscillate persistently. We perform exact calculations for…

Quantum Physics · Physics 2023-02-20 Kian Hwee Lim , Wai-Keong Mok , Leong-Chuan Kwek

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 counter-intuitive localized states with eigenvalues embedded in the continuum of extended states. Recently, nontrivial band topology is exploited to enrich the BIC physics, resulted in topological…

Mesoscale and Nanoscale Physics · Physics 2023-03-29 Luohong Liu , Tianzi Li , Qicheng Zhang , Meng Xiao , Chunyin Qiu

Light-actuated motors, vehicles, and even space sails have drawn tremendous attention for basic science and applications in space, biomedical, and sensing domains. Optical bound states in the continuum (BIC) are topological singularities of…

Optics · Physics 2022-04-06 Haoye Qin , Walid Redjem , Boubacar Kante

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…

Optics · Physics 2018-04-18 Lijun Yuan , Ya Yan Lu

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

Bound states in the continuum (BICs) represent a new paradigm in photonics due to the full suppression of radiation losses. However, this suppression has also hampered their direct observation. By using a double terahertz (THz) near-field…