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We introduce the novel concept of a bound state in the continuum (BIC) for a binary lattice satisfying the ${\mathcal{P T}}$ symmetry condition. We show how to build such state and the local potential necessary to sustain it. We find that…

Pattern Formation and Solitons · Physics 2014-05-20 Mario I. Molina , Yuri S. Kivshar

We consider E polarized bound states in the radiation continuum (BICs) in circular periodical arrays of $N$ infinitely long dielectric rods. We find that each true BIC which occurs in an infinite linear array has its counterpart in the…

Optics · Physics 2018-03-21 Evgeny N. Bulgakov , Almas F. Sadreev

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

In recent years, bound states in continuum (BICs) have gained significant value for practitioners in both theoretical and applied photonics. This paper focuses on devices that utilize non-homogeneous thin patterned laminae. The properties,…

Optics · Physics 2024-07-11 Ovidiu-Zeno Lipan , Aldo De Sabata

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

Radiative properties of lasing plasmonic bound state in continuum are analyzed. The topological charge of the lasing signal is analyzed in the far field as well as in the source plane of the finite sized plasmonic lattice. The physical…

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

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

We examine bulk and surface bound states in the continuum (BIC) that is, square-integrable, localized modes embedded in the linear spectral band of a discrete lattice including interactions to first-and second nearest neighbors. We suggest…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 N. A. Gallo , M . I. Molina

We show that the interplay between spin-orbit coupling and Zeeman splitting in atomic systems can lead to the existence of bound states in the continuum (BICs) supported by trapping potentials. Such states have energies falling well within…

Pattern Formation and Solitons · Physics 2017-09-21 Yaroslav V. Kartashov , Vladimir V. Konotop , Lluis Torner

We study a class of bound states in the continuum (BICs) in all-dielectric periodic structures, near which resonant states approach ideal circularly polarized states (CPSs). We term these BICs {\em asymptotically circularly polarized BICs}…

Optics · Physics 2025-11-18 Nan Zhang , Ya Yan Lu

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…

The physics of bound states in the continuum (BICs) allows to design and demonstrate optical resonant structures with large values of the quality factor ($Q$-factor) by employing dielectric structures with low losses. However, BIC is a…

Optics · Physics 2023-11-23 Yao Liang , Din Ping Tsai , Yuri Kivshar

We propose and experimentally realize a class of quasi-one-dimensional topological lattices whose unit cells are constructed by coupled multiple identical resonators, with uniform hopping and inversion symmetry. In the presence of…

Mesoscale and Nanoscale Physics · Physics 2024-01-15 Jun Li , Yaping Yang , C. M. Hu

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

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…

Photonic bound states in the continuum (BICs) are eigenmodes with an infinite lifetime, which coexist with a continuous spectrum of radiating waves. BICs are not only of great theoretical interest, but have a wide range of practical…

Optics · Physics 2019-04-16 Dmitry A. Bykov , Evgeni A. Bezus , Leonid L. Doskolovich

We present a distinct mechanism for the formation of bound states in the continuum (BICs). In chiral quantum systems there appear zero-energy states in which the wave function has finite amplitude only in one of the subsystems defined by…

Mesoscale and Nanoscale Physics · Physics 2014-07-30 Jordi Mur-Petit , Rafael A. Molina

Continuum-buried defect states in semiconductors are generally expected to be optically inactive due to their strong coupling to continuum bands. Here, we show that such defects can instead host radiative electronic bound states in the…

Materials Science · Physics 2026-05-27 Seong Yun Hong , Liang Z. Tan , Ki Hoon Lee , Youngho Kang , Yeonghun Lee

Tunable bound states in the continuum (BICs) in metasurfaces offer powerful opportunities to control light-matter interactions, yet the role of out-of-plane symmetry breaking remains poorly understood. Here, we reveal a mechanism that…

Optics · Physics 2026-05-12 Hao Song , Yanming Sun , Jian Li , Wanlin Wang , Ming Chun Tang