Robust bound state in the continuum in a nonlinear microcavity embedded in a photonic crystal waveguide

Bulgakov, Evgeny N.; Sadreev, Almas F.

doi:10.1364/ol.39.005212

Cited by 60 publications

(37 citation statements)

References 37 publications

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“…Although the BSCs can not be probed directly by an incident wave they are seen as collapses of Fano resonance when the BSC point is approached in the parametric space. That phenomenon was observed for scattering of EM waves by arrays of rods [30,33,37,40,44,45,51,52,81]. In this subsection we report a similar Fano resonance collapse in the differential and total cross-sections vs. frequency when the wave number k z tends to zero or the radius of the spheres approaches the BSC radius.…”

Section: Symmetry Protected Bscssupporting

confidence: 76%

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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Section: Symmetry Protected Bscssupporting

confidence: 76%

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

2017

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“…Over the last decade, it was shown that optical bound states with suppressed radiation loss may exist within the radiation continuum in open resonators [12][13][14][15][16][17][18][19][20][21][22]. These excitations are known as "embedded eigenstates", in analogy with the spatially localized electron states with "positive energy" in quantum systems [23][24][25].…”

Section: Main Textmentioning

confidence: 99%

“…The reciprocity constraint can be circumvented with a nonlinear material response [29]. Specifically, with a nonlinearity the embedded eigenstates can be pumped from the outside, ensuring that the energy stored in the resonator is precisely quantized [29] (see also [18][19][20][21]). Figure 5 local materials, next we analyze the structure of the fields in the shell [26,37].…”

Section: Main Textmentioning

confidence: 99%

Multiple embedded eigenstates in nonlocal plasmonic nanostructures

2020

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Trapping light in open cavities is a long sought "holy grail" of nanophotonics. Plasmonic materials may offer a unique opportunity in this context, as they may fully suppress the radiation loss and enable the observation of spatially localized light states with infinite lifetime in an open system. Here, we investigate how the spatial dispersion effects, e.g., caused by the electron-electron interactions in a metal, affect the trapped eigenstates.Heuristically, one may expect that the repulsive-type electron-electron interactions should act against light localization, and thereby that they should have a negative impact on the formation of the embedded eigenstates. Surprisingly, here we find that the nonlocality of the material response creates new degrees of freedom and relaxes the requirements for the observation of trapped light. In particular, a zero-permittivity condition is no longer mandatory and the same resonator shell can potentially suppress the radiation loss at multiple frequencies.

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“…Due to high Q-factor, optical BICs are very promising for many applications ranging from on-chip photonics and optical communications to biological sensing and photovoltaics. It has been already shown [10] that, in nonlinear materials due to the Kerr effect, a robust BIC arises in a self-adaptive way without necessity to tune the material parameters. In theory, BICs have infinite high quality factor, however, for real systems it is limited because of material absorption, technological imperfections, roughness, finite lateral size of samples and leakage into the substrate.…”

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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Robust bound state in the continuum in a nonlinear microcavity embedded in a photonic crystal waveguide

Cited by 60 publications

References 37 publications

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

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

Multiple embedded eigenstates in nonlocal plasmonic nanostructures

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

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