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We suggest the numerical approach to detect eigenfrequencies of trapped modes in waveguides or guided waves in diffraction gratings. At the same time, the approach works perfectly for computation of systems with finitely many scattering…

Quantum Physics · Physics 2007-05-23 Valery E. Grikurov

Confined geometries, such as optical waveguides, support a discrete set of eigen-modes. In multimoded structures, depending on the boundary conditions, superposition states can propagate. Characterization of these states is a fundamental…

Optics · Physics 2012-06-05 R. A. Barankov

Bound states in the continuum (BICs) garnered significant for their potential to create new types of nanophotonic devices. Most prior demonstrations were based on arrays of dielectric resonators, which cannot be miniaturized beyond the…

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 study the emergence of two types of two-photon bounds states in waveguides of any chirality. Specifically, we present a systematic way of analytically determining the eigenstates of a system consisting of a waveguide coupled to a…

Quantum Physics · Physics 2021-10-13 Bastian Bakkensen , Yu-Xiang Zhang , Johannes Bjerlin , Anders Søndberg Sørensen

Bound states in the continuum (BICs) provide a viable way of achieving high-Q resonances in both photonics and acoustics. In this work, we proposed a general method of constructing Friedrich-Wintgen (FW) BICs and accidental BICs in a…

We develop a formalism, based on the mode expansion method, to describe the guided resonances and bound states in the continuum (BICs) in photonic crystal slabs with one-dimensional periodicity. This approach provides analytic insights to…

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…

Optics · Physics 2020-04-29 Zhen Hu , Lijun Yuan , Ya Yan Lu

Bound states in the continuum (BIC) are trapped eigenmodes with infinite $Q$ factors that are confined in the system. In this work, we propose a simple design for engineering a Friedrich-Wintgen BIC through the interference between a…

Optics · Physics 2024-12-02 Xia Zhang , A. Louise Bradley

Bound states in the continuum (BICs) are radiationless localized states embedded in the part of the parameter space that otherwise corresponds to radiative modes. Many decades after their original prediction and early observations in…

Optics · Physics 2019-09-25 Jordi Gomis-Bresco , David Artigas , Lluis Torner

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…

We consider optical response induced by bound states in the continuum (BICs) in arrays of dielectric spheres. By combining quasi-mode expansion technique with coupled mode theory (CMT) we put forward a theory of the optical response by…

Optics · Physics 2018-10-17 Evgeny N Bulgakov , Dmitrii N Maksimov

Sound propagation in a waveguide lined with one section of locally reactive material is studied by resonance scattering approach. The objective is to understand the effects of mode coupling in the lined section on the transmission. It is…

Classical Physics · Physics 2016-04-20 Lei Xiong , Wenping Bi , Yves Aurégan

We discuss the recent advances in meta-optics and nanophotonics associated with the physics of bound states in the continuum (BICs). Such resonant states appear due to a strong coupling between leaky modes in optical guiding structures…

Optics · Physics 2018-10-23 Kirill Koshelev , Andrey Bogdanov , Yuri Kivshar

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

Photonic bound states in the continuum (BICs) are special localized and non-decaying states of a photonic system with a frequency embedded into the spectrum of scattered states. The simplest photonic structure displaying a single BIC is…

Optics · Physics 2021-05-05 Stefano Longhi

Bound states in the continuum (BICs) have been extensively exploited to enhance light--matter interactions in metamaterials, yet their emergence and utility in multi-atom waveguide platforms remain far less explored. Here we study…

Quantum Physics · Physics 2025-12-09 Xiang Guo , Xiaojun Zhang , Mingzhu Weng , Qian Bin , Hao-di Liu , Hai-Jun Xing , Xin-You Lü , Zhihai Wang

We propose and theoretically and numerically investigate narrowband integrated filters consisting of identical resonant dielectric ridges on the surface of a single-mode dielectric slab waveguide. The proposed composite structures operate…

Optics · Physics 2019-07-10 Leonid L. Doskolovich , Evgeni A. Bezus , Dmitry A. Bykov

Quasi-bound states in the continuum (q-BICs) are resonant states of suitably tailored nanostructures with long optical lifetimes controlled by symmetry-breaking perturbations. While in planarized ultrathin devices the resulting Fano…

Optics · Physics 2021-02-24 Adam Overvig , Nanfang Yu , Andrea Alu

We demonstrate experimentally a new type of Bound state In the Continuum (BIC) which is induced by the vertical symmetry breaking of a photonic crystal slab. Such BIC emerges from the hybridization between Bloch resonances of opposite…