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We present simple yet extremely accurate coupled-wave models describing the formation of bound states in the continuum (BICs) in 1D-periodic guided-mode resonant gratings (GMRGs) consisting of a slab waveguide layer with a binary grating…

Optics · Physics 2019-06-12 Dmitry A. Bykov , Evgeni A. Bezus , Leonid L. Doskolovich

We consider dielectric cavities whose radiation space is restricted by two parallel metallic planes. The TM solutions of the Maxwell equations of the system are equivalent to the solutions of periodical arrays of dielectric cavities. The…

Optics · Physics 2022-08-31 Evgeny Bulgakov , Artem Pilipchuk , Almas Sadreev

In the last decade, symmetry-protected bound states in the continuum (BICs) have proven to be an important design principle for creating and enhancing devices reliant upon states with high quality (Q) factors, such as sensors, lasers, and…

Polarization coherent states (PCS) are considered as generalized coherent states of $SU(2)_p$ group of the polarization invariance of the light fields. The geometric phases of PCS are introduced in a way, analogous to that used in the…

Quantum Physics · Physics 2007-05-23 V. P. Karassiov , V. L. Derbov , S. I. Vinitsky , Olga M. Priyutova

One of the main applications of the bound state in the continuum (BIC) is the low-threshold lasing. Ideally, the infinite quality factor of the BIC results in the zero-threshold and zero-linewidth lasing. However, various effects disturb…

Optics · Physics 2025-08-22 Tetsuyuki Ochiai

We examine bulk and surface bound states in the continuum (BIC) that is, square-integrable, localized modes embedded in the linear spectral band of a discrete lattice including interactions to first-and second nearest neighbors. We suggest…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 N. A. Gallo , M . I. Molina

Bound states in the continuum (BIC) are shown to exist in a single-level Fano-Anderson model with a colored interaction between the discrete state and a tight-binding continuum, which may describe mesoscopic electron or photon transport in…

Quantum Physics · Physics 2009-11-13 Stefano Longhi

We consider refractive index sensing with optical bounds states in the continuum (BICs) in dielectric gratings. Applying a perturbative approach we derived the differential sensitivity and the figure of merit of a sensor operating in the…

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

Recently, optical bound states in continuum in various passive photonic crystals have been identified and similar structures incorporated with optical gain have been reported to exhibit lasing. However, no explicit control over the type of…

We study bound states embedded into the continuum of edge states in two-dimensional topological insulators. These states emerge in the presence of a short-range potential of a structural defect coupled to the boundary. In this case the edge…

Mesoscale and Nanoscale Physics · Physics 2015-07-09 Vladimir A. Sablikov , Aleksei A. Sukhanov

Exploiting topological ideas has been a major theme in modern photonics, which provides unprecedented opportunities to design photonic devices with robustness against defects and flaws. While most previous works in topological photonics…

Classical Physics · Physics 2021-12-03 Fujia Chen , Zhen Gao , Li Zhang , Qiaolu Chen , Qinghui Yan , Rui Xi , Liqiao Jing , Erping Li , Wenyan Yin , Hongsheng Chen , Yihao Yang

We consider bound states in the continuum (BICs) in low-contrast dielectric gratings (DGs). It is demonstrated that the BICs originate from the reduced guided modes on the effective dielectric slab with the permittivity equal to the average…

Optics · Physics 2018-11-28 Evgeny N. Bulgakov , Dmitrii N. Maksimov

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…

Optics · Physics 2020-01-15 Zhen Hu , Lijun Yuan , 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…

The photonic bound state in the continuum (BIC) is discovered in a hybrid photonic circuit with low refractive index waveguide on a high refractive index thin membrane, where the optical dissipation is forbidden because of the destructive…

Bound states in the continuum (BICs) and exceptional points (EPs) have been the subjects of recent intensive research as they exhibit exotic phenomena that are significant for both fundamental physics and practical applications. We…

Optics · Physics 2020-08-26 Ryo Kikkawa , Munehiro Nishida , Yutaka Kadoya

Bound states in the continuum (BICs) in planar photonic structures have attracted broad scientific interest owing to their exceptional capability to confine light. Topological robustness of certain BICs allows them to be moved in the…

Optics · Physics 2024-12-04 Huayu Bai , Andriy Shevchenko , Radoslaw Kolkowski

The partial or complete confinement of waves in an open system is omnipresent in nature and in wave-based materials and technology. Here, we theoretically analyze and experimentally observe the formation of a trapped mode with perfect mode…

Applied Physics · Physics 2021-07-07 Liyun Cao , Yifan Zhu , Yanlong Xu , Shi-Wang Fan , Zhichun Yang , Badreddine Assouar

Transitions from bound states in the continuum (BICs) to quasi-BICs (qBICs) are typically realized by introducing in-plane asymmetry, including permittivity asymmetry ({\epsilon}-qBICs) and geometry asymmetry (g-qBICs). Here, we demonstrate…

Optics · Physics 2026-01-23 Yongqi Chen , Chaofeng Xie , Tongtong Zhu , Weiqiang Ding , Yurui Fang
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