2018
DOI: 10.1364/josab.35.002443
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Optical response induced by bound states in the continuum in arrays of dielectric spheres

Abstract: We consider optical response induced by bound states in the continuum (BICs) in arrays of dielectric spheres. By combining quasi-mode expansion technique with coupled mode theory (CMT) we put forward a theory of the optical response by high-Q resonance surrounding BICs in momentum space. The central result are analytical expressions for the CMT parameters, which can be easily calculated from the eigenfrequencies and eigenvectors of the interaction matrix of the scattering systems. The results obtained are veri… Show more

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Cited by 35 publications
(37 citation statements)
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“…Such type of chains were analyzed theoretically in details in Refs. [35,67,73,122,[153][154][155][156][157]. In particular, A. Sadreev and co-workers proposed a novel type of the waveguide consisting of a circular array of parallel dielectric wires providing optical signals above the light line of the surrounding space without raidiation losses (Fig.…”
Section: Metamaterials and Metasurfacesmentioning
confidence: 99%
“…Such type of chains were analyzed theoretically in details in Refs. [35,67,73,122,[153][154][155][156][157]. In particular, A. Sadreev and co-workers proposed a novel type of the waveguide consisting of a circular array of parallel dielectric wires providing optical signals above the light line of the surrounding space without raidiation losses (Fig.…”
Section: Metamaterials and Metasurfacesmentioning
confidence: 99%
“…Recently, great attention has been focused on a novel family of nonradiating resonant states that can be supported in engineered alldielectric metasurfaces and termed bound states in the continuum (BICs) [6][7][8][9][10][11][12][13][14]. BIC existence is an intriguing phenomenon firstly proved in quantum mechanics and then extensively studied in electronic and photonic structures [15][16][17][18][19]. These special modes possess an ideal infinite Q-factor characterized by vanishing resonance linewidth since can be completely decoupled from the continuum of propagating free-space radiation [20][21][22].…”
Section: Introductionmentioning
confidence: 99%
“…The only d Λ = 1, d = 3 problems of which we are aware are computations of eigenmodes for twisted waveguides on the basis of either approximate models [41] or finite-difference methods in time-domain (FDTD) [53]. The contributions [11,29,46,51] consider linear arrays of spheres but they also focus on the study of guided modes in the periodic structure rather than the simulation of a wave-scattering process. To the best of our knowledge, the numerical simulations presented in what follows are the first high-order accurate numerical simulations ever produced for linear arrays in three-dimensional space.…”
Section: Linear Periodic Arrays In Three Dimensional Spacementioning
confidence: 99%