2018
DOI: 10.1103/physrevb.98.161112
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Toroidal dipole bound states in the continuum

Abstract: Toroidal multipole moments are usually underestimated as they are quite weak in most cases of light-matter interaction. Herein, we reveal a strong link between the toroidal dipole resonance and the bound state in the continuum in the context of all-dielectric metasurfaces. We introduce the concept of toroidal dipole bound states in the continuum, in which two eigenmodes of the silicon metasurface exhibit an intrinsic toroidal dipolar character and have an infinite lifetime. They can be classified as transverse… Show more

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Cited by 209 publications
(130 citation statements)
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“…One interesting type of BICs relies on the symmetry properties of both discrete mode and coexisted radiative continuum. When a discrete mode is characterized by a particular symmetry class, radiative continuum belonging to a different symmetry classes completely decouples from such a discrete state [12,17]. The coupling between the bound states and continuum band is forbidden as long as their symmetry properties are preserved, and they are classified as symmetry-protected BICs [12].…”
Section: Introductionmentioning
confidence: 99%
“…One interesting type of BICs relies on the symmetry properties of both discrete mode and coexisted radiative continuum. When a discrete mode is characterized by a particular symmetry class, radiative continuum belonging to a different symmetry classes completely decouples from such a discrete state [12,17]. The coupling between the bound states and continuum band is forbidden as long as their symmetry properties are preserved, and they are classified as symmetry-protected BICs [12].…”
Section: Introductionmentioning
confidence: 99%
“…The physics of all-dielectric resonant nanophotonics can be broadly characterized by two major phenomena: (i) sharp spatial location of electric and magnetic fields at the nanoscale, which enhances a number of nonlinear effects, such as the harmonic generation, [6][7][8] alloptical switching, 9 and (ii) the multimodal interference via hybrid modes excitation. Many novel effects were discovered, such as directional light scattering, 10 optical magnetism, 11,12 bound states in the continuum, 13,14 toroidal and nonradiating optical anapole states, [15][16][17][18][19] etc.…”
Section: Introductionmentioning
confidence: 99%
“…We simulate the transmission spectra for two values of , and the results are shown in Figure 4c. In the case where = 90°, and the meta-molecule is provided with C 4 -symmetry, the annihilation of the toroidal response might be attributed to the bound states in the continuum (BIC) associated with the toroidal dipole mode addressed in a recent study, [29] where a certain degree of symmetry breaking, either with regard to the excitation fields or the geometrical configurations, is required to turn BIC into quasi-BIC, in order to observe the corresponding resonances in the spectra. However, neither of them is endowed with toroidal characters.…”
Section: Quadrumer Casementioning
confidence: 99%