All-dielectric metasurfaces with trapped modes: Group-theoretical description

Yu, Pengchao; Kupriianov, Anton S.; Dmitriev, Victor; Tuz, Vladimir R.

doi:10.1063/1.5087054

Cited by 55 publications

(39 citation statements)

References 47 publications

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“…The corresponding quality factors of leaky resonances depend on the degree of the introduced structural asymmetry [20]. The concept of manipulating the transition between the symmetry-protected BICs and leaky resonances was first proposed for plasmonic metasurfaces composed of metallic split-ring resonators [21], and then it was developed for all-dielectric metasurfaces [22][23][24][25][26][27][28][29][30][31]. The recent development in topological photonics has demonstrated a wide class of topologically protected states [32].…”

Section: Introductionmentioning

confidence: 99%

Metasurface Engineering through Bound States in the Continuum

et al. 2019

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Metasurfaces have attracted a lot of attention in recent years due to novel ways they provide for the efficient wavefront control and engineering of the resonant transmission. We discuss an approach allowing effectively control appearance of the sharp Fano resonances in metasurfaces associated with the bound states in the continuum. We demonstrate that by breaking the symmetry transversely, in the direction perpendicular to a metasurface with a complex unit cell, we can control the number, frequency, and type of high-Q resonances originating from bound states in the continuum. As example, we demonstrate experimentally the metasurfaces with magnetic dipole and toroidal dipole responses governed by the physics of multipolar bound states.

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Section: Introductionmentioning

confidence: 99%

Metasurface Engineering through Bound States in the Continuum

et al. 2019

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“…To explore these selection rules, we employ theoretical-group approach. The group-theoretic approach is a powerful method which is widely used for analyzing the properties of periodic photonic system [30,[49][50][51][52]. In this section, we apply this method to reveal which of the coefficients D piprmn are non-zero in accordance with the mode symmetry imposed by the symmetry of the periodic structure [53,54] and to explain the formation of BIC.…”

Section: Multipolar Approachmentioning

confidence: 99%

“…Such * z.sadrieva@metalab.ifmo.ru † k.frizyuk@metalab.ifmo.ru kind of BIC is called symmetry-protected, and they also allow interpretation in terms of topological charges defined by the number of times the polarization vectors winds around the BICs presented as vortex centers in the polarization field [28]. In contrast to the symmetryprotected BIC, the so-called accidental BICs [1,[28][29][30][31] can be observed out of the Γ-point due to an accidental nulling of the Fourier (coupling) coefficients via fine tuning of parameters of the photonic system. Such a mechanism is also known as Friedrich-Wintgen scenario [32].…”

Section: Introductionmentioning

confidence: 99%

Multipolar origin of bound states in the continuum

et al. 2019

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Metasurfaces based on resonant subwavelength photonic structures enable novel ways of wavefront control and light focusing, underpinning a new generation of flat-optics devices. Recently emerged all-dielectric metasurfaces exhibit high-quality resonances underpinned by the physics of bound states in the continuum that drives many interesting concepts in photonics. Here we suggest a novel approach to explain the physics of bound photonic states embedded into the radiation continuum. We study dielectric metasurfaces composed of planar periodic arrays of Mie-resonant nanoparticles ("meta-atoms") which support both symmetry protected and accidental bound states in the continuum, and employ the multipole decomposition approach to reveal the physical mechanism of the formation of such nonradiating states in terms of multipolar modes generated by isolated meta-atoms. Based on the symmetry of the vector spherical harmonics, we identify the conditions for the existence of bound states in the continuum originating from the symmetries of both the lattice and the unit cell. Using this formalism we predict that metasurfaces with strongly suppressed spatial dispersion can support the bound states in the continuum with the wavevectors forming a line in the reciprocal space. Our results provide a new way for designing high-quality resonant photonic systems based on the physics of bound states in the continuum.

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“…These resonances are related to the collective trapped mode excitation. [32][33][34] Therefore, in order to differentiate the features of the cluster-based configuration from those influenced by the particles perturbations, further we consider three particular designs of the metasurface. The first design is realized by displacing the non-perturbed disks toward the unit cell center by a distance s along the cell's diagonals [ Fig.…”

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confidence: 99%

“…The cluster forming metasurface corresponds to the group C 4v for all chosen designs. 33 This group has the four-fold symmetry axis with respect to rotation around the z axis. For the metasurfaces whose unit cell symmetry belongs to the rotational groups C 4v , there is polarization independence of the structure under normal incidence conditions.…”

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Homogeneous enhancement of near-fields in all-dielectric metasurfaces with cluster-based unit cells

Kupriianov¹,

Domina²,

Khardikov³

et al. 2020

Opt. Lett.

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In order to construct a dielectric analog of spaser, we study theoretically and experimentally several configurations of cluster-based unit cells for an all-dielectric metasurface characterized by resonant conditions of the trapped mode excitation. Excitation of the trapped mode is realized either by specific displacement of particles in the cluster, or by perturbation of the equidistantly spaced particles by off-centered round holes or coaxial-sector notches. It turns out that the latter approach is more advantageous for enhancement of electric near-field with homogeneous distribution in-plane of the structure and its strong localization outside the high-refractive-index dielectric particles. This feature opens prospects for realization of highly desirable subwavelength flat lasing structures based on strong near-field interaction with substances exhibiting pronounced nonlinear characteristics and properties of gain media.Considerable interest in the study of metamaterials is due to the prospects of their use in practical devices. 1 Metamaterials can be a suitable platform for many optical systems, such as sensors 2 and perfect absorbers. 3 They allow one to enhance quantum dots luminescence, 4,5 realize optical switching 6,7 and other related operations 8 when combined with optically active and nonlinear substances. 9,10 In the latter case, thin planar metamaterials (metasurfaces) are of special interest, due to their higher workability. 11,12 In particular, it is proposed to combine metasurfaces with optically active materials to obtain parametric gain systems and develop amplifying or lasing devices 13 (e.g. spaser -Surface Plasmon Amplification by Stimulated Emission of Radiation 14,15 ). In a metasurface-based spaser a regular array of subwavelength metallic resonators is supported by a slab of gain medium containing quantum dots. A special type of symmetry-broken resonators is chosen to ensure excitation of a high-qualityfactor (high-Q) trapped mode with reduced radiative losses. 16,17 The collective plasmonic oscillations in such resonators lead to the emission of spatially and temporarily coherent light in the direction normal to the metasurface array. The spaser system is very thin and compact and benefits from the strong electric field localization near the surface associated with plasmons. Nevertheless, although the concept of the metasurface-based spaser is well developed, its practical implementation is difficult due to requirement of high pumping power, which adversely affects the system. It arises from excessive heat a) Electronic mail: tvr@rian.kharkov.ua and tvr@jlu.edu.cn losses inherent in plasmonic nanostructures in infrared and visible parts of spectrum. Moreover, asymmetric plasmonic particles composing the metasurface typically have a quite complicated form, so it is difficult to fabricate them on the nanoscale.All-dielectric metasurfaces can overcome abovementioned drawbacks of plasmonic structures while being simple in manufacturing. [18][19][20] The resonant behavior of light in high-re...

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All-dielectric metasurfaces with trapped modes: Group-theoretical description

Cited by 55 publications

References 47 publications

Metasurface Engineering through Bound States in the Continuum

Metasurface Engineering through Bound States in the Continuum

Multipolar origin of bound states in the continuum

Homogeneous enhancement of near-fields in all-dielectric metasurfaces with cluster-based unit cells

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