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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

Bound states in the continuum (BICs) are exotic optical topological singularities that defy the typical radiation within the continuum of radiative modes and carry topological polarization vortices in momentum space. Enabling ultrahigh…

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

Recently, optical bound states in continuum in various passive photonic crystals have been identified and similar structures incorporated with optical gain have been reported to exhibit lasing. However, no explicit control over the type of…

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

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

The interaction of light beams with resonant structures has led to the development of various optical platforms for sensing, particle manipulation, and strong light-matter interaction. In the current study, we investigate the manifestations…

The partial or complete confinement of waves in an open system is omnipresent in nature and in wave-based materials and technology. Here, we theoretically analyze and experimentally observe the formation of a trapped mode with perfect mode…

Applied Physics · Physics 2021-07-07 Liyun Cao , Yifan Zhu , Yanlong Xu , Shi-Wang Fan , Zhichun Yang , Badreddine Assouar

Bound states in the continuum (BICs) in gratings composed of infinitely long silicon rods of rectangular cross-section are considered. We reveal merging off-$\Gamma$ Friedrich-Wintgen BIC with symmetry protected BIC. We present CMT and…

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

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

The control of light through all-optical means is a fundamental challenge in nanophotonics and a key effect in optical switching and logic. The optical bistability effect enables this control and can be observed in various planar photonic…

The generation of arbitrary polarization states of light is essential for optical communication and photonic information processing. Photonic crystal and metasurface platforms supporting bound states in the continuum (BICs) provide a…

Optics · Physics 2026-03-13 Siyuan Gao , Guangtai Lu , Satoshi Iwamoto , Yasutomo Ota

Bound states in the continuum (BIC) are localized waves in electronic, photonic and acoustic systems, which remain decoupled from surrounding propagating waves and hence maintain their oscillation for extraordinary long time [Nat Rev Mater…

We address a two-dimensional parity-time (PT)-symmetric structure built as a chain of waveguides, where all waveguides except for the central one are conservative, while the central one is divided into two halves with gain and losses. We…

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 (BICs) and exceptional points (EPs), as two distinct physical singularities represented by complex frequencies in non-Hermitian systems, have garnered significant attention and clear definitions in their…

Light trapping is a constant pursuit in photonics because of its importance in science and technology. Many mechanisms have been explored, including the use of mirrors made of materials or structures that forbid outgoing waves, and bound…

Flat-band bound states in the continuum (BICs) are topological states with suppressed group velocity and robustness against radiation loss, offering a powerful platform for the exploration of non-Hermitian, nonlinear, topological phenomena…

Optics · Physics 2026-01-26 Fuhuan Shen , Jiahao Ren , Zhiyi Yuan , Kai Wu , Sai Yan , Kunal Parasad , Hai Son Nguyen , Rui Su

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…

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