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METAMATERIALS PLASMONIC STRUCTURES WITH HIGHLY DIRECTIONAL BEAMING PROPERTIES The transmission of electromagnetic (EM) waves through a single subwavelength aperture has been studied for many years. As defined in the standard diffraction theory by Bethe [1] in 1944, a circular aperture with a subwavelength diameter transmits EM waves rather poorly and exiting EM waves are fully diffracted in all directions. These two disadvantages of low transmission and diffraction are the main problems of manipulating light, especially at the subwavelength scales. However, it has been shown that the confinement of the transmitted beam is possible by surrounding the metal surface of the subwavelength apertures with periodic corrugations. This effect is attributed to the coupling of incident light to surface plasmons (SPs) [2].
Fig.1 EM waves are fully diffracted. SPs are the collective excitation of electrons at the surface of a conductor in the longitu- dinal direction. As SP modes have longer wave vectors than light waves of the same energy, electromagnetic radiation does not interact with the SP modes of a smooth metal surface [3]. When the metal surface surrounding the subwavelength hole is corrugated, the incident light can couple to SPs. A resonant interaction leads to an enhanced transmission at wavelengths determined by the corrugation period [4, 5]. In our work, we used metallic (aluminum) structures with a subwavelength hole in the center with a diameter of (a) 8 mm. The gratingless sample with _a thickness of (t) 8 mm was used as a reference sample. We dressed this structure with grooves in order to invoke SPs. We also combined the annular aperture and grooved structure in order to obtain higher transmission. The combination of the annular aperture and grooved structure showed extraordinary high transmission at 12.9 GHz (23.25 mm) via the coupling to the surface waves and the guided mode of annular aperture. Including the reduction in the area of the aperture, a 450-fold enhancement was achieved through the subwavelength annular aperture.
Fig.2 Schematics of the annular aperture with circular grooves and transmission spectrum of the reference and annular aperture with circular grooves.
Fig.3 Electric field distribution on the surface of the grooved structure at resonance frequency (12.9 GHz). Red indicates the maximum and blue indicates the minimum.
The light emerging from the groove structure is emitted through a subwavelength aperture. It is expected that the emitted EM waves would quickly diffract in all directions due to the subwavelength dimensions of the aperture [1]. On the contrary; we observed that the emitted EM waves are confined to a narrow spatial region when the subwavelength aperture was surrounded by periodic circular grooves. The surface wave momentum and the momentum of the corrugation around the subwavelength aperture limit the allowed range of momentum of the re-radiated EM waves. The circular symmetry of the structure suggests that the off-axis beams are suppressed due to the destructive interference. In addition, the beams normal to the surface of the aperture constructively interfere since the beams emitted from the hole and grooves are in phase. Angular divergence of the transmitted beam from reference sample is 12 degrees, whereas the transmitted beam that emerges from grooved sample is 3 degrees. The angular divergence of the beam reduced four times compared to the transmitted beam from reference sample.
Fig.4 Normalized angular transmission distribution for reference sample (left) and grooved sample (right) at resonance frequency (13 GHz). The electric field distribution of the transmitted beam calculated and measured for the grooved sample shows clearly the beaming effect. The electric f ield intensity transmitted through the grooved sample is confined to a narrow spatial region and propagates without diffracting into a wide angular region at the resonance frequency.
Fig.5 Calculated(top) and measured(bottom) electric field distribution from Sample 4 at the resonance frequency. Red indicates the maximum and blue indicates the minimum.
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