Topological Nature of Optical Bound States in the Continuum

Zhen, Bo; Hsu, Chia Wei; Lü, Ling; Stone, A. Douglas; Soljačić, Marin

doi:10.1103/physrevlett.113.257401

Cited by 686 publications

(618 citation statements)

References 41 publications

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“…Assume there is a bound solution with the eigenfrequency k 0BSC > 0 which is coupled with all diffraction continua enumerated by n. Let k 0BSC < 2π/h, i.e., the BSC resides in the first diffraction continua but below the others. Because of the symmetry or by variation of the material parameters of the modulated slab we can achieve that the coupling of the solution with first diffraction continuum equals zero [15,17,20,21,22]. However the solution is coupled with continua n = 1, 2, .…”

Section: Basic Equations For Em Wave Scattering By a Linear Array Of mentioning

confidence: 99%

“…It is widely believed that only those modes whose eigenfrequencies lie below the light cone, are confined and the rest of the eigenmodes have finite life times. Recently confined electromagnetic modes above the light cone were shown to exist in various periodical arrays (i) of long dielectric cylindrical rods [12,13,14,15,17,18], (ii) photonic crystal slabs [19,20,21,22] and (iii) two-dimensional arrays of spheres [23]. Similarly, one may expect light trapping in the one-dimensional array of spheres with the bound frequencies above light cone.…”

Section: Introductionmentioning

confidence: 99%

“…Scattering by aggregates of finite number of spheres was considered in the framework of multisphere Mie scattering [32,35,36], however to our knowledge the scattering by the one-dimensional infinite array of dielectric spheres has not been considered yet. This section aims to present the results of numerical calculation of differential and total crosssections of the infinite array with the focus on the resonant traces of the BSCs in the cross-sections similar to the scattering by array of dielectric rods [15,20,22]. As soon as one deviates from the BSC point the BSC manifests in the form of collapsing Fano resonance for approaching to the BSC point in parametric space.…”

Section: Emergence Of the Bsc In Scatteringmentioning

confidence: 99%

“…However there are a class of symmetry protected BSC which are free of tuning of the material parameters but exist only for selected values of Bloch vector β [42]. These BSC have been already considered in the linear array of infinitely long dielectric rods [12,14,15,16,20,22,26].…”

Section: Symmetry Classification Of Bscsmentioning

confidence: 99%

“…Such localized solutions of the Maxwell equations are known as the bound states in the continuum (BSC) and were first reported by von Neumann and Wigner [24]. The BSCs are of immense interest in optics thanks to experimental opportunity to confine light despite that outgoing waves are allowed in the surrounding medium [22,25,26,27,28,29]. A periodic infinite array of dielectric spheres illuminated by a plane wave (blue arrow).…”

Section: Introductionmentioning

confidence: 99%

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Trapping of light with angular orbital momentum above the light cone

Bulgakov¹,

Sadreev

2017

AEM

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We consider bound states in the radiation continuum (BSC) above the light cone in an one-dimensional periodic array of dielectric spheres in air. The BSCs are classified by orbital angular momentum m, Bloch wave vector β directed along the array, and polarization. The most simple symmetry protected BSCs have m = 0, β = 0 and occur in a wide range of the radius of spheres and dielectric constant. More sophisticated BSCs with m ̸ = 0, β = 0 exist only for a selected radius of the spheres at a fixed dielectric constant. We also show the existence of robust Bloch BSCs with β ̸ = 0, m = 0. The BSCs with m = 0 can be easily detected by the collapse of Fano resonance in scattering of a plane wave. In response to a plane wave with circular polarization the BSCs with m ̸ = 0 give rise to Poynting vector spiralling around the array.

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Section: Basic Equations For Em Wave Scattering By a Linear Array Of mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Emergence Of the Bsc In Scatteringmentioning

confidence: 99%

Section: Symmetry Classification Of Bscsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Trapping of light with angular orbital momentum above the light cone

Bulgakov¹,

Sadreev

2017

AEM

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Spatiotemporal Lineshape Tailoring in BIC‐Mediated Reconfigurable Metamaterials

Tong

et al. 2022

Adv Funct Materials

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The bound state in the continuum (BIC) is a unique nonradiating eigenstate that possesses rich physics and has attracted intensive attention in the field of optics and photonics. Actively tailoring BICs in a designable fashion is highly desired for diversified photonic devices. However, to date, most BIC‐assisted works have been limited to showing passive control in a fixed structure configuration without tuning the spectral responses. Here, a new scheme to construct a coupled photon cavity for spatiotemporal lineshape tailoring, in which a nonradiating BIC is embedded in the electromagnetic induced transparency (EIT) window, is proposed. This approach uses the phase transition of VO2 inclusions to induce spatial symmetry breaking, leading to the formation of a quasi‐BIC coupled EIT state. As an extra dimension for dynamic tuning, a layer with a transient photoconductivity much shorter than the photon lifetime is introduced to ultrafast switch the leaky modes for both EIT‐ and quasi‐BIC‐coupled EIT cavities. As the symmetry‐protected BIC and coupling effect are quite common in optical metasurfaces, this proposal provides a general paradigm to active steer spatiotemporal spectrum across multiple dimensions, which is thus believed to promote active metadevices for potential applications in modulators, sensors, filters, and dynamic imaging.

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Two‐Photon Polymerization Lithography for Optics and Photonics: Fundamentals, Materials, Technologies, and Applications

Wang

Zhang

Ladika

et al. 2023

Adv Funct Materials

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The rapid development of additive manufacturing has fueled a revolution in various research fields and industrial applications. Among the myriad of advanced three-dimensional printing techniques, two-photon polymerization lithography (TPL) uniquely offers a significant electron microscope (SEM) images of SMP structures before and after programming and after recovery, respectively. Reproduced under terms of the CC-BY license. [114] Copyright 2021, The Authors, published by Nature Publishing Group. b) Stiff SMPs for high-resolution reversible nanophotonics. I-II) The deformed and recovered nanopillars under optical microscope and SEM, respectively. Reproduced with permission. [115] Copyright 2022, American Chemical Society. c) Vapor-responsive photonic arrays. I-IV) Optical image of a grid array in air, in water vapors ~ 20 s, saturation with water vapors ~ 88s, and after the gas flow stopped, respectively.Reproduced under terms of the CC-BY license. [116] Copyright 2021, The Authors, published by Royal Society of Chemistry. d) SEM image of a 40-layer face-cantered-cubic photonic structure printed by SU-8. Reproduced with permission. [117] Copyright 2004, Nature Publishing Group. e) SEM image of helices with an axial pitch of 800 nm and a radius of 800 nm fabricated by the two-step absorption photoresist. Reproduced with permission. [118]

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Topological Nature of Optical Bound States in the Continuum

Cited by 686 publications

References 41 publications

Trapping of light with angular orbital momentum above the light cone

Trapping of light with angular orbital momentum above the light cone

Spatiotemporal Lineshape Tailoring in BIC‐Mediated Reconfigurable Metamaterials

Two‐Photon Polymerization Lithography for Optics and Photonics: Fundamentals, Materials, Technologies, and Applications

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