Bloch bound states in the radiation continuum in a periodic array of dielectric rods

Bulgakov, Evgeny N.; Sadreev, Almas F.

doi:10.1103/physreva.90.053801

Cited by 199 publications

(212 citation statements)

References 40 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%

“…Also the Bloch BSCs in a single array of cylindrical dielectric rods in air were presented in Refs. [15,42]. Only the solution with Bloch vector β c is true Bloch BSC.…”

Section: Robust Bloch Bscs Withmentioning

confidence: 99%

“…We formulate the scattering theory for a periodic array of dielectric spheres in the form of the Lippmann-Schwinger equation similar to the approach developed for a periodic array of dielectric cylinders [15] LΨ = Ψ inc .…”

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

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%

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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%

“…Also the Bloch BSCs in a single array of cylindrical dielectric rods in air were presented in Refs. [15,42]. Only the solution with Bloch vector β c is true Bloch BSC.…”

Section: Robust Bloch Bscs Withmentioning

confidence: 99%

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

confidence: 99%

Section: Symmetry Classification Of Bscsmentioning

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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Realizing Ultrahigh‐Q Resonances Through Harnessing Symmetry‐Protected Bound States in the Continuum

Huang,

Li,

Zhou

et al. 2023

Adv Funct Materials

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Harnessing the power of symmetry‐protected bound states in the continuum (SP BICs) has become a focal point in scientific exploration, promising many interesting applications in nanophotonics. However, the practical realization of ultrahigh quality (Q) factor quasi‐BICs (QBICs) is hindered by the fabrication imperfections. In this work, an easy approach is proposed to achieve ultrahigh‐Q resonances by strategically breaking symmetry. By introducing precise perturbations within the zero eigenfield region, QBICs with consistently ultrahigh‐Q factors, beyond conventional limitations are achieved. Intriguingly, intentionally disrupting symmetry in the maximum eigenfield region leads to a rapid decline in QBIC's Q‐factors as the asymmetry parameter increases. Leveraging this design strategy, ultrahigh‐Q modes with a high Q‐factor of 36,694 in a silicon photonic crystal slab are experimentally realized . The findings establish a robust and straightforward pathway toward unlocking the full potential of SP BICs, enhancing light‐matter interactions across diverse applications.

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Spectroscopy and Biosensing with Optically Resonant Dielectric Nanostructures

Krasnok

Caldarola

Bonod

et al. 2018

Advanced Optical Materials

137

123

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Resonant dielectric nanoparticles made of materials with large positive dielectric permittivity, such as Si, GaP, GaAs, have become a powerful platform for modern light science, enabling various fascinating applications in nanophotonics and quantum optics. In addition to light localization at the nanoscale, dielectric nanostructures provide electric and magnetic resonant responses throughout the visible and infrared spectrum, low dissipative losses and optical heating, low doping effect, and absence of quenching, which are interesting for spectroscopy and biosensing applications. This review presents state‐of‐the‐art applications of optically resonant high‐index dielectric nanostructures as a multifunctional platform for light–matter interactions. Nanoscale control of quantum emitters and applications for enhanced spectroscopy including fluorescence spectroscopy, surface‐enhanced Raman scattering, biosensing, and lab‐on‐a‐chip technology are surveyed. The theoretical background underlying these effects is described, realizations of specific resonant dielectric nanostructures and hybrid excitonic systems are overviewed, and an outlook of the challenges in this field, which remain open to future research, is provided.

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Bloch bound states in the radiation continuum in a periodic array of dielectric rods

Cited by 199 publications

References 40 publications

Trapping of light with angular orbital momentum above the light cone

Trapping of light with angular orbital momentum above the light cone

Realizing Ultrahigh‐Q Resonances Through Harnessing Symmetry‐Protected Bound States in the Continuum

Spectroscopy and Biosensing with Optically Resonant Dielectric Nanostructures

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