Perfectly-reflecting guided-mode-resonant photonic lattices possessing Mie modal memory

Abstract

Resonant periodic nanostructures provide perfect reflection across small or large spectral bandwidths depending on the choice of materials and design parameters. This effect has been known for decades, observed theoretically and experimentally via onedimensional and two-dimensional structures commonly known as resonant gratings, metamaterials, and metasurfaces. The physical cause of this extraordinary phenomenon is guided-mode resonance mediated by lateral Bloch modes excited by evanescent diffraction orders in the subwavelength regime. In recent years, hundreds of papers have declared Fabry-Perot or Mie resonance to be basis of the perfect reflection possessed by periodic metasurfaces. Treating a simple one-dimensional cylindrical-rod lattice, here we show clearly and unambiguously that Mie resonance does not cause perfect reflection. In fact, the spectral placement of the Bloch-mode-mediated zero-order reflectance is primarily controlled by the lattice period by way of its direct effect on the homogenized effective-medium refractive index of the lattice. In general, perfect reflection appears away from Mie resonance. However, when the lateral leaky-mode field profiles approach the isolated-particle Mie field profiles, the resonance locus tends towards the Mie resonance wavelength. The fact that the lattice fields "remember" the isolated particle fields is referred here as "Mie modal memory." On erasure of the Mie memory by an index-matched sublayer, we show that perfect reflection survives with the resonance locus approaching the homogenized effective-medium waveguide locus. The results presented here will aid in clarifying the physical basis of general resonant photonic lattices.

Interdisk spacing effect on resonant properties of Ge disk lattices on Si substrates

“…Despite the absence of narrow minima due to collective lattice resonances, their effect, nevertheless, manifests itself in a greater depth of the efficient broad minimum in the short-wavelength region of our spectra. This agrees to the results of 38 , which showed that the scattering maxima caused by lattice resonances can be located far from the strongest EM resonances of individual particles, which, in our case, are of the dipole type located in the region of relatively longer wavelengths.…”

“…The study of the G -related effect was carried out for dimer-forming particles 34 , 35 and structures of several particles with different configurations 36 . The strongest interaction was observed in cases of collective lattice resonances 8 , 27 , 37 , 38 , which are well studied for plasmon resonances 17 , 37 . In case of dielectric particles, the collective lattice resonances are usually studied for structures with rather large G values.…”

Recent Advances in Tunable Metasurfaces: Materials, Design, and Applications

“…Previous work showed that its minimum refractive index modulation speed was ∼10 ns, which was several orders of magnitude faster than the free-carrier effect . A more recent work demonstrated the modulation of a hybrid Mie-guided mode resonance via a tuning mechanism based on the quantum-confined Stark effect …”

Magneto-Optical Spectroscopy of Short Spin Waves by All-Dielectric Metasurface

“…For the sake of simplicity in analysis and potential fabrication, we consider a metasurface formed by a 1D grating of nanostripes of high-refractive-index material (for example, Si, GaP, and Ge) on the top of the magnetic film; however, similar results can be obtained for the nanoantennas of the other shapes. According to the Mie theory, such stripes produce resonances in the light scattering and absorption [ 32 , 33 ]. This scattered light experiences magneto-optical polarization rotation during its propagation through the magnetic film.…”