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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…

Quantum Physics · Physics 2021-05-26 Almas F. Sadreev

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

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…

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…

Optics · Physics 2020-01-15 Zhen Hu , Lijun Yuan , Ya Yan Lu

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

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…

Optics · Physics 2018-04-23 Lijun Yuan , Ya Yan Lu

Bound states in the continuum (BIC), i.e. normalizable modes with an energy embedded in the continuous spectrum of scattered states, are shown to exist in certain optical waveguide lattices with $\mathcal{PT}$-symmetric defects. Two…

Quantum Physics · Physics 2014-03-19 Stefano Longhi

Being a general wave phenomenon, bound states in the continuum (BICs) appear in acoustic, hydrodynamic, and photonic systems of various dimensionalities. Here, we report the first experimental observation of an accidental electromagnetic…

Bound states in the continuum (BICs) are spatially localized eigenmodes that remain perfectly confined even though their energies reside within a continuum of radiating modes. BICs were predicted in 1929, but their experimental realization…

Bound states in the continuum (BICs) are localized modes residing in the radiation continuum. They were first predicted for single-particle states, and became a general feature of many wave systems. In many-body quantum physics, it is still…

Quantum Physics · Physics 2024-10-28 Boning Huang , Yongguan Ke , Honghua Zhong , Yuri S. Kivshar , Chaohong Lee

Bound state in the continuum (BIC) and quasi-BIC represent a remarkable class of wave functions that disobey conventional intuition by exhibiting spatially localized modes embedded in the continuum spectrum. In recent years, these states…

Quantum Physics · Physics 2025-06-25 Zeyu Rao , Changling Zou , Yang Chen , Guangcan Guo , Ming Gong

Quantum mechanics predicts that certain stationary potentials can sustain bound states with an energy buried in the continuous spectrum of scattered states, the so-called bound states in the continuum (BIC). Originally regarded as…

Quantum Physics · Physics 2013-10-21 Stefano Longhi , Giuseppe Della Valle

Bound states in the continuum (BICs) and exceptional points (EPs) are unique singularities of non-Hermitian systems. BICs demonstrate enhancement of the electromagnetic field at the nanoscale, while EPs exhibit high sensitivity to small…

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

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…

Quantum Gases · Physics 2025-04-08 Yanxia Liu , Shu Chen

Bound states in the continuum (BIC) are shown to exist in a single-level Fano-Anderson model with a colored interaction between the discrete state and a tight-binding continuum, which may describe mesoscopic electron or photon transport in…

Quantum Physics · Physics 2009-11-13 Stefano Longhi

We theoretically investigate and experimentally demonstrate that genuine bound states in the continuum (BICs) -- polarization-protected BICs -- can be completely localized within finite-size solid resonators. This bound mode is realized in…

Applied Physics · Physics 2024-10-22 Yeongtae Jang , Seokwoo Kim , Dongwoo Lee , Eunho Kim , Junsuk Rrho

Using formalism of effective Hamiltonian we consider bound states in continuum (BIC). They are those eigen states of non-hermitian effective Hamiltonian which have real eigen values. It is shown that BICs are orthogonal to open channels of…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Evgeny N. Bulgakov , Konstantin N. Pichugin , Almas F. Sadreev , Ingrid Rotter

We demonstrate that bound states in the continuum (BICs) form continuous lines along high-symmetry directions of momentum space in a simple phononic crystal slab. Contrary to common sense, these BICs are symmetry-protected (SP) BICs not…

Materials Science · Physics 2025-04-08 Lin Yang , Riyi Zheng , Sheng Zhang , Wenshuai Zhang , Qiujiao Du , Pai Peng , Ziyu Wang , Manzhu Ke , Xueqin Huang , Fengming Liu

A photonic-crystal slab can support bound states in the continuum (BICs) which have infinite lifetimes but embedded into the continuous spectrum of optical modes in free space. The formation of BICs requires a total internal reflection…

Optics · Physics 2022-09-27 Peng Hu , Chongwu Xie , Qianju Song , Ang Chen , Hong Xiang , Dezhuan Han , Jian Zi