Abstract
An extensive numerical study of diffraction of a plane monochromatic wave by a single gold cone on a plane gold substrate and by a periodical array of such cones shows formation of curls in the map of the Poynting vector. They result from the interference between the incident wave, the wave reflected by the substrate, and the field scattered by the cone(s). In case of a single cone, when going away from its base along the surface, the main contribution in the scattered field is given by the plasmon surface wave (PSW) excited on the surface. As expected, it has a predominant direction of propagation, determined by the incident wave polarization. Two particular cones with height approximately 1/6 and 1/3 of the wavelength are studied in detail, as they present the strongest absorption and field enhancement when arranged in a periodic array. While the PSW excited by the smaller single cone shows an energy flux globally directed along the substrate surface, we show that curls of the Poynting vector generated with the larger cone touch the diopter surface. At this point, their direction is opposite to the energy flow of the PSW, which is then forced to jump over the vortex regions. Arranging the cones in a two-dimensional subwavelength periodic array (diffraction grating), supporting a specular reflected order only, resonantly strengthens the field intensity at the tip of cones and leads to a field intensity enhancement of the order of 10 000 with respect to the incident wave intensity. The enhanced field is strongly localized on the rounded top of the cones. It is accompanied by a total absorption of the incident light exhibiting large angular tolerances. This strongly localized giant field enhancement can be of much interest in many applications, including fluorescence spectroscopy, label-free biosensing, surface-enhanced Raman scattering (SERS), nonlinear optical effects and photovoltaics.
Highlights
For more than 50 years, it has been known that excitation of surface plasmons on a periodically slightly modulated metallic surface leads to a strong light absorption [1, 2] accompanied by a strong field enhancement, of the order of 100 times the incident electric field intensity [3]
An extensive numerical study of diffraction of a plane monochromatic wave by a single gold cone on a plane gold substrate and by a periodical array of such cones shows formation of curls in the map of the Poynting vector. They result from the interference between the incident wave, the wave reflected by the substrate, and the field scattered by the cone(s)
In case of a single cone, when going away from its base along the surface, the main contribution in the scattered field is given by the plasmon surface wave (PSW) excited on the surface
Summary
For more than 50 years, it has been known that excitation of surface plasmons on a periodically slightly modulated metallic surface (shallow diffraction gratings) leads to a strong (total) light absorption [1, 2] accompanied by a strong field enhancement, of the order of 100 times the incident electric field intensity [3]. Much less widely known is the fact that deep modulation can behave and lead to total absorption of incident light, and that the corresponding surface plasmon responsible for this phenomenon has a localized nature It is accompanied by an enhancement of the electric field that exceeds the excitation of surface non-localized plasmons at shallow gratings by almost one order of magnitude. In the rest of the article, all the dimensions will be expressed in nanometers
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