Extraordinary optical reflection from sub-wavelength cylinder arrays

Universidad Autónoma de Madrid, Madrid, Madrid, Spain
Optics Express (Impact Factor: 3.49). 06/2006; 14(9):3730-7. DOI: 10.1364/OE.14.003730
Source: PubMed


A multiple scattering analysis of the reflectance of a periodic array of sub-wavelength cylinders is presented. The optical properties and their dependence on wavelength, geometrical parameters and cylinder dielectric constant are analytically derived for both s- and p-polarized waves. In absence of Mie resonances and surface (plasmon) modes, and for positive cylinder polarizabilities, the reflectance presents sharp peaks close to the onset of new diffraction modes (Rayleigh frequencies). At the lowest resonance frequency, and in the absence of absorption, the wave is perfectly reflected even for vanishingly small cylinder radii.

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    • "Amazingly, the G-resonances both in the E-and H-polarization cases can be seen in the figures of papers published in the 1980s-2000s (for instance, see Figs. 2 and 3 of [15]). However they became an object of theoretical investigation only in the papers of R. Gomez-Medina and M. Laroche et al. in 2006 [16] [17] where a dipole approximation was used. For a grating of thin dielectric wires they appear just above the Rayleigh anomalies or " passing-off wavelengths. "
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    ABSTRACT: We present a mini-review on the discovery, nature and characterization of the specific family of natural modes existing on periodic arrays of both dielectric and metallic sub-wavelength scatterers, and the corresponding to them resonances in the optical-range wave scattering and absorption. These grating modes (G-modes) have been studied analytically for the gratings of thin flat strips and those of circular wires. It has been shown that, for infinite gratings, their complex-valued natural frequencies tend to the Rayleigh anomalies if the cross-sectional area of the strip or wire becomes smaller. Therefore their quality factors, in this idealized case, display unlimited growths. For finite-size gratings the G-mode quality factors are finite and controlled by the number of elements. If they are made of noble metals and their number is in hundreds, the G-modes have much higher quality factors than the better-known surface-plasmon modes. Therefore the former have potential to replace the latter in the design of sensors in applications related to the detection of changes in the refractive index of the host medium.
    Transparent Optical Networks (ICTON), 2013 15th International Conference on; 01/2013
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    • "Therefore one can guess that the reason of overlooking the G-resonances in the most of studies before 2006 was their extreme proximity to the branch-point Rayleigh wavelengths R m λ , especially for thin-wire gratings. Full-wave analysis of both wave-scattering and eignenvalue problems for the dielectric-wire gratings was presented in [12] [13] and fully supported earlier findings of [8] [9] [10]. Effects of both G-resonances and SP-resonances on infinite gratings of silver wires (in the H-polarization case) have been studied numerically in [13] [14]. "
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    ABSTRACT: This paper reviews the history of discovery and the study of the nature of the high-quality natural modes existing on periodic arrays of sub-wavelength scatterers as specific periodically structured open resonators. Here, the arrays can be finite and infinite, and their elements can be dielectric and metallic. These grating modes (G-modes), like any other natural modes, are the “parents” of corresponding resonances in the electromagnetic-wave scattering and absorption. In the scattering cross-sections, they are usually observed as Fano-shape (double-extremum) resonances, while in the absorption they always display conventional Lorentz-shape peaks. Thanks to high tunability, the G-resonances can potentially supplement or even replace the better known surface-plasmon resonances in the design of nanosensors, nanoantennas, and nanosubstrates for surface-enhanced Raman scattering.
    Advanced Optoelectronics and Lasers (CAOL), 2013 International Conference on; 01/2013
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    • "If the wires diameter is a small fraction of the period , then their frequencies lie just below the frequencies of Rayleigh–Wood " anomalies " (branch points at , for the normal incidence). The grating resonances are caused by the poles and lead to almost total reflection of the incident plane wave in narrow frequency bands both in the and -polarization cases [5], [6]. However it seems that the question of how these resonances display themselves if a grating of wires is finite has not been studied so far. "
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    ABSTRACT: We consider the H -polarized plane wave scattering by a finite linear grating of circular silver wires using the angular field expansions in local coordinates and addition theorems for cylindrical functions. The study is focused on the influence of the plasmon and the grating resonances on each other. It demonstrates that the scattering per one silver cylinder can be dramatically enhanced if the grating period is tuned to the plasmon-resonance wavelength value.
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