Bound states in the continuum

Hsu, Chia Wei; Zhen, Bo; Stone, A. Douglas; Joannopoulos, John D.; Soljačić, Marin

doi:10.1038/natrevmats.2016.48

Cited by 2,067 publications

(1,659 citation statements)

References 253 publications

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“…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: 97%

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: Introductionmentioning

confidence: 97%

Trapping of light with angular orbital momentum above the light cone

Bulgakov¹,

Sadreev

2017

AEM

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“…In this review we summarize our resent results on BSCs in arrays of dielectric spheres [56] including some findings on transport properties of dielectric arrays [57] and BSCs with OAM [58,59]. For a thorough review of BSCs the reader is addressed to [60].…”

Section: Introductionmentioning

confidence: 99%

Light Trapping above the Light Cone in One-Dimensional Arrays of Dielectric Spheres

2017

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Abstract:We demonstrate bound states in the radiation continuum (BSC) in a linear periodic array of dielectric spheres in air above the light cone. We classify the BSCs by orbital angular momentum m = 0, ±1, ±2 according to the rotational symmetry of the array, Bloch wave vector β directed along the array according to the translational symmetry, and polarization. The most simple symmetry protected BSCs have m = 0, β = 0 and occur in a wide range of the radius of the spheres and dielectric constant. More sophisticated BSCs with m = 0, β = 0 exist only for a selected radius of spheres at fixed dielectric constant. We also find robust Bloch BSCs with β = 0, m = 0. All BSCs reside within the first but below the other diffraction continua. We show that the BSCs can be easily detected by bright features in scattering of different plane waves by the array as dependent on type of the BSC. The symmetry protected TE/TM BSCs can be traced by collapsing Fano resonance in cross-sections of normally incident TE/TM plane waves. When plane wave with circular polarization with frequency tuned to the bound states with OAM illuminates the array the spin angular momentum of the incident wave transfers into the orbital angular momentum of the BSC. This, in turn, gives rise to giant vortical power currents rotating around the array. Incident wave with linear polarization with frequency tuned to the Bloch bound state in the continuum induces giant laminar power currents. At last, the plane wave with linear polarization incident under tilt relative to the axis of array excites Poynting currents spiralling around the array. It is demonstrated numerically that quasi-bound leaky modes of the array can propagate both stationary waves and light pulses to a distance of 60 wavelengths at the frequencies close to the bound states in the radiation continuum. A semi-analytical estimate for decay rates of the guided waves is found to match the numerical data to a good accuracy.

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“…We implement a one-dimensional photonic structure based on silicon-on-insulator (SOI) wafer and reveal the critical role of the substrate on BIC. We demonstrate its transformation to a resonant state [11], having a finite radiation lifetime, with the change of the thickness of the silica spacer separating the photonic structure and the substrate of SOI wafer.…”

Section: Introductionmentioning

confidence: 99%

Effect of substrate on optical bound states in the continuum in 1D photonic structures

Sadrieva¹,

Sinev²,

Samusev³

et al. 2017

AIP Conference Proceedings

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In this work, we analyze properties of BIC in CMOS-compatible one-dimensional photonic structure based on siliconon-insulator wafer at telecommunication wavelengths, where the absorption of silicon is negligible. We reveal that a high-index substrate could destroy both off-Γ BIC and in-plane symmetry protected at-Γ BIC turning them into resonant states due to leakage into the diffraction channels opening in the substrate.

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Bound states in the continuum

Cited by 2,067 publications

References 253 publications

Trapping of light with angular orbital momentum above the light cone

Trapping of light with angular orbital momentum above the light cone

Light Trapping above the Light Cone in One-Dimensional Arrays of Dielectric Spheres

Effect of substrate on optical bound states in the continuum in 1D photonic structures

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