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Bound states in the continuum (BICs) exist in a variety of physical systems where they appear as lossless propagating states surrounded by radiating modes. However, in the case of open systems, they coexist with continuous families of…

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…

We introduce a method for effectively identifying bound states in the continuum (BICs) - notably without computing the imaginary part of the eigenvalues - thereby simplifying the modeling and potentially reducing computation time. In real,…

Classical Physics · Physics 2026-04-30 Vincent Laude , David Röhlig

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) are localized states embedded within a continuum of propagating waves. Perturbations that disrupt BICs typically induce ultra-strong resonances, a phenomenon enabling diverse applications in photonics.…

Mathematical Physics · Physics 2026-01-21 Jiaxin Zhou , Wangtao Lu , Ya Yan Lu

Band structure analysis is central to understanding wave propagation in periodic media; however, it becomes challenging in open systems owing to energy leakage. Photonic crystal (PhC) slabs exemplify such systems, featuring periodicity in…

Optics · Physics 2026-03-20 Jie Liu , Ziyun Peng , Qianju Song , Ang Chen , Liping Yang , Chunxiong Zheng , Dezhuan Han

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…

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

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

We introduce a new type of a bound state in the continuum (BIC) which appears in the photonic structure consisting of two coupled waveguides where one of them supports a discrete eigenmode spectrum embedded in the continuum of the other…

Optics · Physics 2024-12-13 Jiri Petracek , Vladimir Kuzmiak , Jiri Ctyroky , Ivan Richter

A bound state in the continuum (BIC) on a periodic structure sandwiched between two homogeneous media is a guided mode with a frequency and a wavenumber such that propagating plane waves with the same frequency and wavenumber exist in the…

Pattern Formation and Solitons · Physics 2021-01-01 Lijun Yuan , Ya Yan Lu

In this article, we study the formation of the bound states in the continuum (BICs) in a two-channel Fano-Anderson model. We employ the Green's function formalism, together with the equation of motion method, to analyze the relevant…

Mesoscale and Nanoscale Physics · Physics 2022-08-04 Bastián Grez , Juan Pablo Ramos-Andrade , Vladimir Juričić , Pedro A. Orellana

Bound states in the continuum (BICs) provide a viable way of achieving high-Q resonances in both photonics and acoustics. In this work, we proposed a general method of constructing Friedrich-Wintgen (FW) BICs and accidental BICs in a…

We study transport properties of an arbitrary two terminal Hermitian system within a tight-binding approximation and derive the expression for the transparency in the form, which enables one to determine exact energies of perfect (unity)…

Other Condensed Matter · Physics 2017-12-06 A. A. Gorbatsevich , N. M. Shubin

Bound states in the continuum (BICs) represent localized modes with energies embedded in the continuous spectrum of radiating waves. BICs were discovered initially as a mathematical curiosity in quantum mechanics, and more recently were…

We consider bound states in the continuum (BICs) in low-contrast dielectric gratings (DGs). It is demonstrated that the BICs originate from the reduced guided modes on the effective dielectric slab with the permittivity equal to the average…

Optics · Physics 2018-11-28 Evgeny N. Bulgakov , Dmitrii N. Maksimov

When two nonorthogonal resonances are coupled to the same radiation channel, avoided crossing arises and a bound state in the continuum (BIC) appears in parametric space. This paper presents numerical and analytical results on the…

Optics · Physics 2020-07-02 Sun-Goo Lee , Seong-Han Kim , Chul-Sik Kee

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

We investigate the occurrence of bound states in the continuum (BIC's) in serial structures of quantum dots coupled to an external waveguide, when some characteristic length of the system is changed. By resorting to a multichannel…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Cattapan , P. Lotti

In the field of optics, bound state in the continuum (BIC) has been researched in many photonic crystals and periodic structures due to a strong resonance and an ultrahigh Q factor. Some designs of narrowband transmission filters, lasers,…

Optics · Physics 2022-04-26 Yuhang Ruan , Jicheng Wang , Zheng-Da Hu , Yixiang Wang