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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…

光学 · 物理学 2018-04-23 Lijun Yuan , Ya Yan Lu

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…

光学 · 物理学 2020-01-15 Zhen Hu , Lijun Yuan , Ya Yan Lu

Bound states in the continuum (BICs) have some unusual properties and important applications in photonics. A periodic structure sandwiched between two homogeneous media is the most popular platform for observing BICs and realizing their…

光学 · 物理学 2021-09-01 Lijun Yuan , Ya Yan Lu

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…

数学物理 · 物理学 2026-05-26 Ya Yan Lu , Jiaxin Zhou

In a lossless periodic structure, a bound state in the continuum (BIC) is characterized by a real frequency and a real Bloch wavevector for which there exist waves propagating to or from infinity in the surrounding media. For applications,…

光学 · 物理学 2022-08-17 Amgad Abdrabou , Ya Yan Lu

Waveguiding structures made of anisotropic media support bound states in the continuum (BICs) that arise when the radiation channel of otherwise semi-leaky modes is suppressed. Hitherto, only structures with optical axes aligned in…

We develop a semi-analytical model to describe bound states in the continuum (BICs) in photonic crystal slabs. We model leaky modes supported by photonic crystal slabs as a transverse Fabry-Perot resonance composed of a few propagative…

Bound states in the continuum (BICs) in a periodic structure sandwiched between two homogeneous media have interesting properties and useful applications in photonics. The topological nature of BICs was previously revealed based on a…

光学 · 物理学 2021-04-28 Amgad Abdrabou , Ya Yan Lu

Bound states in the continuum (BICs) are trapped or guided modes with frequencies in radiation continua. They are associated with high-quality-factor resonances that give rise to strong local field enhancement and rapid variations in…

光学 · 物理学 2021-05-26 Lijun Yuan , Ya Yan Lu

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…

斑图形成与孤子 · 物理学 2021-01-01 Lijun Yuan , Ya Yan Lu

We investigate the robustness of bound states in the continuum (BICs) in a bilayer dielectric rod array against geometric and material perturbations. Our analysis focuses on both symmetry-protected and Fabry-P\'erot BICs, examining their…

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…

A periodic structure sandwiched between two homogeneous media can support bound states in the continuum (BICs) that are valuable for many applications. It is known that generic BICs in periodic structures with an up-down mirror symmetry and…

光学 · 物理学 2021-09-08 Lijun Yuan , 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…

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

Bound states in the continuum (BICs) defy conventional wisdom that assumes a spectral separation between propagating waves, that carry energy away, and spatially localized waves corresponding to discrete frequencies. They can be described…

光学 · 物理学 2024-08-12 Cheng-Zhen Wang , Ulrich Kuhl , Adin Dowling , Holger Schanz , Tsampikos Kottos

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…

光学 · 物理学 2024-04-24 Samyobrata Mukherjee , Jordi Gomis-Bresco , David Artigas , Lluis Torner

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…

光学 · 物理学 2018-04-18 Lijun Yuan , Ya Yan Lu

On periodic structures sandwiched between two homogeneous media, a bound state in the continuum (BIC) is a guided Bloch mode with a frequency within the radiation continuum. BICs are useful, since they give rise to high quality-factor…

光学 · 物理学 2020-04-29 Zhen Hu , Lijun Yuan , Ya Yan Lu

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…

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

For optical waveguides with a layered background which itself is a slab waveguide, a guided mode is a bound state in the continuum (BIC), if it coexists with slab modes propagating outwards in the lateral direction; i.e., there are lateral…

光学 · 物理学 2023-11-27 Nan Zhang , Ya Yan Lu
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