Quasi bound states in the continuum with few unit cells of photonic crystal slab

Taghizadeh, Alireza; Chung, Il-Sug

doi:10.1063/1.4990753

Cited by 106 publications

(61 citation statements)

References 40 publications

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“…Also, we note that the earlier studies of high-Q 2D microcavities in the regime of avoided resonance crossing [81] can also be linked to the BIC concept. In the very recent pioneering work [7], Rybin and co-authors proposed a novel class of high-Q nanoresonators realised by tuning the structure parameters into the socalled supercavity regime [39,82], which is based on the destructive interference of several leaky modes according to the Friedrich-Wintgen mechanism. Later, strong mode coupling regime at the quasi-BIC conditions was observed experimentally in microwaves [83].…”

Section: Bound States In the Continuummentioning

confidence: 99%

Nonradiating photonics with resonant dielectric nanostructures

et al. 2019

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Nonradiating sources of energy have traditionally been studied in quantum mechanics and astrophysics, while receiving a very little attention in the photonics community. This situation has changed recently due to a number of pioneering theoretical studies and remarkable experimental demonstrations of the exotic states of light in dielectric resonant photonic structures and metasurfaces, with the possibility to localize efficiently the electromagnetic fields of high intensities within small volumes of matter. These recent advances underpin novel concepts in nanophotonics, and provide a promising pathway to overcome the problem of losses usually associated with metals and plasmonic materials for the efficient control of the light-matter interaction at the nanoscale. This review paper provides the general background and several snapshots of the recent results in this young yet prominent research field, focusing on two types of nonradiating states of light that both have been recently at the center of many studies in all-dielectric resonant meta-optics and metasurfaces: optical anapoles and photonic bound states in the continuum. We discuss a brief history of these states in optics, their underlying physics and manifestations, and also emphasize their differences and similarities. We also review some applications of such novel photonic states in both linear and nonlinear optics for the nanoscale field enhancement, a design of novel dielectric structures with high-resonances, nonlinear wave mixing and enhanced harmonic generation, as well as advanced concepts for lasing and optical neural networks. arXiv:1903.04756v1 [physics.optics]

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Section: Bound States In the Continuummentioning

confidence: 99%

Nonradiating photonics with resonant dielectric nanostructures

et al. 2019

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“…on the strength of periodic modulation. The latter can be called quasi-BICs, the term which has recently become widely used in the literature for such modes [53,54]. It is also interesting to see a formation of some of the RSs as a result of a rather strong coupling between WG modes which are close in frequency but belong to different Bragg channels, see e.g in Fig.…”

Section: Origin and Evolution Of The Rss In A Pc Slabmentioning

confidence: 99%

Resonant-state expansion for planar photonic crystal structures

Neale

Muljarov

2020

Phys. Rev. B

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We present a new paradigm in the field of photonic crystals and metamaterials, applying the resonant-state expansion (RSE) to planar photonic-crystal structures. The RSE allows us to understand and quantify optical resonances in photonic-crystal structures in terms of the analytic resonant states of a homogeneous planar waveguide. The RSE provides an efficient and reliable tool for accurate calculation of a complete set of the resonant states of a photonic-crystal slab, which is required for the correct description and a better understanding of its optical spectra. For the proof of principle, numerical verification of the RSE, and demonstration of its unprecedented accuracy and convergence, an infinite planar photonic crystal slab periodic in one dimension is taken as an example. To illustrate the power of the present approach, we consider the mode evolution with the amplitude of the periodic modulation, revealing the role of the guided modes in the formation of bound states in the continuum. arXiv:1908.06916v1 [physics.optics]

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“…Clearly, a resonant mode with an arbitrarily large Q-factor can be obtained if β is chosen to be sufficiently close to β * , and an arbitrarily large local field can be induced by an incident wave with the wavevector β. However, practical applications of the strong field enhancement can be limited by the difficulty of controlling β to high precision, in addition to other practical issues such as fabrication errors [48], material dissipation [43], variations in different periods, finite sizes [49][50][51], etc. In [45], we showed that for symmetric standing waves, which are BICs with β * = 0 and are unprotected by symmetry in the usual sense, the Q-factors of the associated resonant modes satisfy an inverse fourth power asymptotic relation, i.e., Q ∼ 1/|β − β * | 4 .…”

Section: Introductionmentioning

confidence: 99%

Bound states in the continuum on periodic structures surrounded by strong resonances

Yuan

2018

Phys. Rev. A

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Bound states in the continuum (BICs) are trapped or guided modes with their frequencies in the frequency intervals of the radiation modes. On periodic structures, a BIC is surrounded by a family of resonant modes with their quality factors approaching infinity. Typically the quality factors are proportional to 1/|β − β * | 2 , where β and β * are the Bloch wavevectors of the resonant modes and the BIC, respectively. But for some special BICs, the quality factors are proportional to 1/|β − β * | 4 . In this paper, a general condition is derived for such special BICs on two-dimensional periodic structures. As a numerical example, we use the general condition to calculate special BICs, which are antisymmetric standing waves, on a periodic array of circular cylinders, and show their dependence on parameters. The special BICs are important for practical applications, because they produce resonances with large quality factors for a very large range of β.

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Quasi bound states in the continuum with few unit cells of photonic crystal slab

Cited by 106 publications

References 40 publications

Nonradiating photonics with resonant dielectric nanostructures

Nonradiating photonics with resonant dielectric nanostructures

Resonant-state expansion for planar photonic crystal structures

Bound states in the continuum on periodic structures surrounded by strong resonances

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