Light enhancement by quasi-bound states in the continuum in dielectric arrays

Bulgakov, Evgeny N.; Максимов, Дмитрий Н.

doi:10.1364/oe.25.014134

Cited by 65 publications

(44 citation statements)

References 83 publications

(135 reference statements)

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“…Nowadays we witness a surge of interest to BICs in field of photonics, where BICs were observed in various set-ups with periodical dielectric permittivity [5][6][7][8][9][10] . In particular, the studies on BICs are motivated by applications to resonant light enhancement [11][12][13] and lasing 14,15 . Another remarkable property of BICs is the emergence of a collapsing Fano feature in its parametric vicinity [16][17][18][19] , that can be potentially employed to narrow-band filters 20,21 .…”

Section: Introductionmentioning

confidence: 99%

Optical defect mode with tunableQfactor in a one-dimensional anisotropic photonic crystal

2018

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We consider a one-dimensional photonic crystal composed of alternating layers of isotropic and anisotropic dielectric materials. Such a system has different band structures for different polarizations of light. We demonstrate that if an anisotropic defect layer is inserted into the structure, the crystal can support an optical bound state in the continuum. By tilting the principle dielectric axes of the defect layer relative to those of the photonic crystal we observe a long-lived resonance in the transmission spectrum. We derive an analytical expression for the decay rate of the resonance that agrees well with the numerical data by the Berreman anisotropic transfer matrix approach. An experimental set-up with a liquid crystal defect layer is proposed to tune the Q-factor of the resonance through applying an external electric field. We speculate that the set-up provides a simple and robust platform for observing optical bound states in the continuum in the form of resonances with tunable Q-factor.

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Section: Introductionmentioning

confidence: 99%

Optical defect mode with tunableQfactor in a one-dimensional anisotropic photonic crystal

2018

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“…3. Such a behavior is typical for the guided modes in the vicinity of the Γ-point in infinite arrays [26,27,29,34]. The Q factor of the eigenmode is given by equation Q = −Re(k 0 )/2Im(k 0 ).…”

Section: Near Bics Propagating Along the Fibermentioning

confidence: 96%

“…Obviously, the infinite array of dielectric cylinders is an unrealistic limit. In practice we deal with finite number N of cylinders which have material losses given by the imaginary part of refractive index, structural fluctuations of cylinders, the effect of substrate etc, transforming the ideal BIC into a resonant mode with small resonant width [13,16,17,29,30]. Although the full range study of these factors is still far from completion it was shown that the Q factor of the symmetry protected quasi BICs grows quadratically with N.…”

Section: Introductionmentioning

confidence: 99%

Fibers based on propagating bound states in the continuum

Bulgakov

Sadreev

2018

Phys. Rev. B

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We show that a circular periodic array of N dielectric cylinders supports nearly bound states in the continuum (BICs) propagating along the cylinders. These propagating nearly BICs with extremely large Q factors of order exp(λN) are surrounded by resonant modes weakly leaking into the radiation continuum. We present leaky zones in the vicinity of different types of BICs: symmetry protected nearly BICs with the resonant width proportional to the squared propagation constant Γ ∼ k 2 z , non-symmetry protected nearly BICs with finite propagation constant k c with Γ ∼ (k z − k c ) 2 and non-symmetry protected nearly BICs with Γ ∼ k 4 z . The latter propagating nearly BICs can serve for transmission of electromagnetic signal paving a way to novel type of optical fibers. We also demonstrate weakly leaking resonant modes which carry orbital angular momentum.

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“…The spectrum in Figs. 2 (c, d) is symmetric with respect to k x → −k x , hence in the vicinity of the symmetry protected BICs we can write [38] ak 0 (θ) = ak BIC + a 2 θ 2 + a 4 θ 4 + O(θ 6 ),…”

Section: Scattering Theorymentioning

confidence: 99%

Nonlinear response from optical bound states in the continuum

Bulgakov

Максимов

2019

Sci Rep

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We consider nonlinear effects in scattering of light by a periodic structure supporting optical bound states in the continuum. In the spectral vicinity of the bound states the scattered electromagnetic field is resonantly enhanced triggering optical bistability. Using coupled mode approach we derive a nonlinear equation for the amplitude of the resonant mode associated with the bound state. We show that such an equation for the isolated resonance can be easily solved yielding bistable solutions which are in quantitative agreement with the full-wave solutions of Maxwell’s equations. The coupled mode approach allowed us to cast the the problem into the form of a driven nonlinear oscillator and analyze the onset of bistability under variation of the incident wave. The results presented drastically simplify the analysis nonlinear Maxwell’s equations and, thus, can be instrumental in engineering optical response via bound states in the continuum.

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Light enhancement by quasi-bound states in the continuum in dielectric arrays

Cited by 65 publications

References 83 publications

Optical defect mode with tunableQfactor in a one-dimensional anisotropic photonic crystal

Optical defect mode with tunableQfactor in a one-dimensional anisotropic photonic crystal

Fibers based on propagating bound states in the continuum

Nonlinear response from optical bound states in the continuum

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