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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…

Optics · Physics 2018-04-23 Lijun Yuan , Ya Yan Lu

Bound states in the continuum (BICs) are quantum states with normalizable wave functions and energies that lie within the continuous spectrum for which extended or dispersive states are also available. These special states, which have shown…

Mesoscale and Nanoscale Physics · Physics 2024-07-29 Ricardo Y. Díaz-Bonifaz , Carlos Ramírez

We show that point defects in two-dimensional photonic crystals can support bound states in the continuum (BICs). The mechanism of confinement is a symmetry mismatch between the defect mode and the Bloch modes of the photonic crystal. These…

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…

Photonic bound states in the continuum are spatially localised modes with infinitely long lifetimes that exist within a radiation continuum at discrete energy levels. These states have been explored in various systems where their emergence…

Optics · Physics 2024-06-07 Wenhui Wang , Antonio Günzler , Bodo D. Wilts , Matthias Saba

In recent years, bound states in continuum (BICs) have gained significant value for practitioners in both theoretical and applied photonics. This paper focuses on devices that utilize non-homogeneous thin patterned laminae. The properties,…

Optics · Physics 2024-07-11 Ovidiu-Zeno Lipan , Aldo De Sabata

Bound states in the continuum (BICs), with the ability of trapping and manipulating waves within the radiation continuum, have gained significant attention for their potential applications in optics and acoustics. However, challenges arise…

Materials Science · Physics 2025-09-03 Shunda Yin , Zhenyu Wang , Liping Ye , Hailong He , Manzhu Ke , Weiyin Deng , Jiuyang Lu , Zhengyou Liu

Bound states in the continuum (BICs) are generally considered unusual phenomena. In this work, we provide a method to analyze the spatial structure of particle's bound states in the presence of a minimal length, which can be used to find…

Quantum Physics · Physics 2020-04-23 Zhang Xiao , Yang Bo , Wei Chaozhen , Luo Maokang

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

Bound states in the continuum (BICs) are spatially localized eigenmodes that remain perfectly confined even though their energies reside within a continuum of radiating modes. BICs were predicted in 1929, but their experimental realization…

Bound states in the continuum (BICs) have exhibited extraordinary properties in photonics for enhanced light-matter interactions that enable appealing applications in nonlinear optics, biosensors, and ultrafast optical switches. The most…

Surface scattering of free electrons strongly modifies the electromagnetic response near the interface. Due to the inherent anisotropy of the surface scattering that necessarily reverses the normal the interface component of the electron…

Optics · Physics 2018-07-11 Evgenii E. Narimanov

Systems with space-periodic Hamiltonians have unique scattering properties. The discrete translational symmetry associated with periodicity of the Hamiltonian creates scattering channels that govern the scattering process. We consider a…

Quantum Physics · Physics 2019-08-08 Max D. Porter , Aaron Barr , Ariel Barr , L. E. Reichl

Bound states in the continuum (BIC) have been studied mainly in optics. Recently, electronic BIC have been proposed. They appear as points in the momentum space and are protected topologically by the Chern number. In this study, we propose…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 Manabu Takeichi , Shuichi Murakami

We develop a theory of bound states in the continuum (BICs) in multipolar lattices -- periodic arrays of resonant multipoles. We predict that BICs are completely robust to changes in lattice parameters remaining pinned to specific…

We introduce a novel concept of surface bound states in the continuum, i.e. surface modes embedded into the linear spectral band of a discrete lattice. We suggest an efficient method for creating such surface modes and the local bounded…

Pattern Formation and Solitons · Physics 2015-06-03 Mario I. Molina , Andrey E. Miroshnichenko , Yuri S. Kivshar

In this paper, we present a Bound states in the continuum (BIC) metamaterial in heterogeneous structures based on the universal coupled mode theory. We find the more general physical parameters to represent BIC, which are the resonant…

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…

Optics · Physics 2023-11-27 Nan Zhang , Ya Yan Lu

Bound states in the continuum (BICs) are an excellent platform enabling highly efficient light-matter interaction in applications for lasing, nonlinear generation, and sensing. However, the current focus in implementing BICs has primarily…

A novel type of shallow interface state in junctions of two semiconductors without band inversion is identified within the envelope function approximation, using the two-band model. It occurs in abrupt junctions when the interband velocity…

Condensed Matter · Physics 2009-10-31 A. V. Kolesnikov , R. Lipperheide , A. P. Silin , U. Wille