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One-dimensional crystals serve as a versatile platform for engineering nontrivial states, which can be easily explored in transport configurations. In this work, we analyze the properties of a periodic structure composed of an H-shaped unit…

Quantum Physics · Physics 2026-03-19 Sofía Pinto , P. A. Orellana , Sergio Bravo

This paper presents a rigorous mathematical analysis for symmetry-based Bound States in the Continuum (BICs) in optical waveguide arrays. Different from existing research, we consider a finite system of horizontally and equidistantly…

Optics · Physics 2025-12-25 Xin Feng , Wei Wu

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 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

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

Bound states in the continuum (BICs) are localized states existing within a continuous spectrum of delocalized waves. Emerging multilayer photonic integrated circuit (PIC) platforms allow implementation of low index 1D guided modes within a…

Optics · Physics 2024-05-22 Kyunghun Han , Thomas W. LeBrun , Vladimir A. Aksyuk

Bound states in the continuum (BICs) in photonic crystals represent the unique solutions of wave equations possessing an infinite quality-factor. We design a type of bilayer photonic crystal and study the influence of symmetry and coupling…

We show a flaw in the photonic band structure which forms the basis of our understanding of crystal momentum in photonic systems. We investigate the origin of this flaw and propose a continuous-folded band structure as the rectification.…

General Physics · Physics 2022-06-28 Shahin Firuzi

Bound states in the continuum (BICs) have greatly impacted our ability to manipulate light-matter interaction at the nanoscale. However, in periodic structures, BICs are typically realized below the diffraction limit, thus leaving a broad…

Optics · Physics 2026-01-13 Ji Tong Wang , Nicolae C. Panoiu

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…

Bound states in the continuum (BICs) are quantum states that remain localized despite existing within a continuum of extended, delocalized states. They defy conventional wave theories and could be instrumental for quantum technologies that…

We propose a new paradigm for realizing bound states in the continuum (BICs) by engineering the environment of a system to control the number of available radiation channels. Using this method, we demonstrate that a photonic crystal slab…

Optics · Physics 2019-07-17 Alexander Cerjan , Chia Wei Hsu , Mikael C. Rechtsman

We reveal that finite-size solid acoustic resonators can support genuine bound states in the continuum (BICs) completely localized inside the resonator. The developed theory provides the multipole classification of such BICs in the…

Classical Physics · Physics 2022-03-14 Ilya Deriy , Ivan Toftul , Mihail Petrov , Andrey Bogdanov

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

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 (BIC)is a wave-mechanical concept that generates resonances with vanishing spectral linewidths. It has many practical applications in Optics, such as narrow-band filters, mirror-less lasing, and nonlinear…

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) have attracted significant interest in recent years due to their unique optical properties, such as infinite quality factor and wave localization. In order to improve the optical performance of BICs…

Optics · Physics 2023-05-17 Fengyuan Zhang , Qiongqiong Chu , Qiang Wang , Shining Zhu , Hui Liu

In this work, we investigate the bound states in the continuum (BIC) of a one-dimensional spin-1 flat band system. It is found that, when the potential is sufficiently strong, there exists an effective attractive potential well surrounded…

Quantum Gases · Physics 2022-07-12 Yi-Cai Zhang

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