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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

Extensive optical measurements of canonical turbulent pipe flows have revealed the existence of structural boundary states (SBSs) -- near-wall low-speed streaks strongly correlated with pairs of counter-rotating quasi-streamwise vortices.…

Fluid Dynamics · Physics 2025-04-01 L. Moriconi , G. Saisse

This paper investigates the generation and stabilization of bound states in the continuum (BICs) in a one-dimensional dissipative Floquet lattice. We find a different mechanism for the generation of stable BICs in the open one-dimensional…

Quantum Physics · Physics 2025-05-13 Yangchun Zhao , Hongzheng Wu , Xinguang Li , Lei Li , Jinpeng Xiao , Zhao-Yun Zeng , Yajiang Chen , Xiaobing Luo

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

The no-slip boundary condition at a solid-liquid interface is at the center of our understanding of fluid mechanics. However, this condition is an assumption that cannot be derived from first principles and could, in theory, be violated. We…

Soft Condensed Matter · Physics 2008-10-12 Eric Lauga , Michael P. Brenner , Howard A. Stone

We report the existence of algebraically localized eigenstates embedded within the continuum spectrum of 2D non-Hermitian systems with a single impurity. These modes, which we term algebraic states in continuum (AICs), decay algebraically…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Ao Yang , Kai Zhang , Chen Fang

In this work, we theoretically propose and experimentally demonstrate the formation of a super bound state in a continuum (BIC) on a photonic crystal flat band. This unique state simultaneously exhibits an enhanced quality factor and…

We consider a coexistence of two axisymmetric liquid bridges LB_i and LB_m of two immiscible liquids i and m which are immersed in a third liquid (or gas) e and trapped between two smooth solid bodies with axisymmetric surfaces S_1,S_2 and…

Fluid Dynamics · Physics 2016-08-24 Leonid Fel , Boris Rubinstein , Vadim Ratner

We consider an infinite periodic array of dielectric rods in vacuum with the aim to demonstrate three types of a Bloch bound states in the continuum (BSC), symmetry protected with a zero Bloch vector, embedded into one diffraction channel…

Optics · Physics 2014-11-18 Evgeny N. Bulgakov , Almas F. Sadreev

In this paper, we prove the existence of a bound state in a waveguide that consists of two semi-infinite periodic structures separated by an interface. The two periodic structures are perturbed from the same periodic medium with a Dirac…

Mathematical Physics · Physics 2023-04-24 Jiayu Qiu , Junshan Lin , Peng Xie , Hai Zhang

We show that a circular periodic array of $N$ dielectric cylinders supports nearly bound states in the continuum (BICs) propagating along the cylinders. These propagating nearly BICs with extremely large $Q$ factors of order $exp(\lambda…

Optics · Physics 2018-08-08 Evgeny N. Bulgakov , Almas F. Sadreev

An anisotropic photonic crystal containing two anisotropic defect layers is considered. It is demonstrated that the system under can support a Fabry-Perot bound state in the continuum (FP-BIC). A fully analytic solution of the scattering…

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

Bound states in the continuum (BICs) are exotic, localized states even though their energy lies in the continuum spectra. Since its discovery in 1929, the quest to unveil these exotic states in charge transport experiments remains an active…

Mesoscale and Nanoscale Physics · Physics 2025-02-14 D. Martínez , P. A. Orellana , L. Rosales , J. Dolado , M. Amado , E. Diez , F. Domínguez-Adame , R. P. A. Lima

We show that topologically protected defect states can exist in open (leaky or lossy) systems even when these systems are topologically trivial in the closed limit. The states appear from within the continuum, thus in absence of a band gap,…

Mesoscale and Nanoscale Physics · Physics 2015-11-12 Simon Malzard , Charles Poli , Henning Schomerus

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…

Ballistically propagating topologically protected states harbor exotic transport phenomena of wide interest. Here we describe a nontopological mechanism that produces such states at the surfaces of generic Dirac materials, giving rise to…

Mesoscale and Nanoscale Physics · Physics 2018-05-25 Oles Shtanko , Leonid Levitov

We investigate the diffraction of guided modes of a dielectric slab waveguide on a simple integrated structure consisting of a single dielectric ridge on the surface of the waveguide. Numerical simulations based on aperiodic rigorous…

Optics · Physics 2018-11-05 Evgeni A. Bezus , Dmitry A. Bykov , Leonid L. Doskolovich

Bound states in the continuum (BIC) have been at the forefront of research in optics and photonics over the past decade. It is of great interest to study the effects associated with quasi-BICs in the simplest structures, where quasi-BICs…

Bound states in the continuum (BICs) have emerged as powerful tools to realize ultra-high-Q resonances in nanophotonics. While previous implementations have primarily relied on dielectric metasurfaces, their optical confinement remains…