Abstract
Abstract Bound states in the continuum (BICs), i.e. highly-localized modes with energy embedded in the continuum of radiating waves, have provided in the past decade a new paradigm in optics and photonics, especially at the nanoscale, with a range of applications from nanophotonics to optical sensing and laser design. Here, we introduce the idea of a crystal made of BICs, in which an array of BICs is indirectly coupled via a common continuum of states resulting in a tight-binding dispersive energy miniband embedded in the spectrum of radiating waves. The results are illustrated for a chain of optical cavities side-coupled to a coupled-resonator optical waveguide with nonlocal contact points.
Highlights
Bound states in the continuum (BICs), i.e. highlylocalized modes with energy embedded in the continuum of radiating waves, have provided in the past decade a new paradigm in optics and photonics, especially at the nanoscale, with a range of applications from nanophotonics to optical sensing and laser design
The results are illustrated for a chain of optical cavities side-coupled to a coupled-resonator optical waveguide with nonlocal contact points
Bound states in the continuum (BICs), originally predicted in nonrelativistic quantum mechanics for certain exotic potentials sustaining localized states with energies embedded in the continuous spectrum of scattered states [1–3], have attracted increasing interest in optics and photonics over the past decade [4–41], providing a new paradigm for unprecedented light localization in nanophotonic structures
Summary
Bound states in the continuum (BICs), originally predicted in nonrelativistic quantum mechanics for certain exotic potentials sustaining localized states with energies embedded in the continuous spectrum of scattered states [1–3], have attracted increasing interest in optics and photonics over the past decade [4–41], providing a new paradigm for unprecedented light localization in nanophotonic structures (for recent reviews see [42–46]). To highlight the idea of a crystal of BICs, let us consider a rather general model describing N discrete states coupled to a common one-dimensional (1D) continuum of radiating waves into which they can decay. The present asymptotic analyst shows that an entirely real energy dispersion relation is possible beyond the flat band case when the BIC states are indirectly coupled via the continuum of the waveguide modes so that excitation can be transferred among the various indirectly coupled BICs through the embedded dispersive band Ω(q)
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