Photonic Transmittance in Metallic and Left Handed Superlattices
| Autor: | Pedro Pereyra |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
lcsh:Applied optics. Photonics
plasmonic frequencies negative tunneling times resonant dispersion relations Superlattice Wave packet photonics Physics::Optics 02 engineering and technology Plasma oscillation 01 natural sciences Dispersion relation 0103 physical sciences Radiology Nuclear Medicine and imaging Transmission coefficient parity effects in metallic superlattices 010306 general physics Instrumentation Plasmon Physics left-handed superlattices Condensed matter physics Surface plasmon lcsh:TA1501-1820 021001 nanoscience & nanotechnology Surface plasmon polariton Atomic and Molecular Physics and Optics Computer Science::Programming Languages 0210 nano-technology planar metallic superlattices |
| Zdroj: | Photonics Volume 7 Issue 2 Photonics, Vol 7, Iss 29, p 29 (2020) |
| ISSN: | 2304-6732 |
| DOI: | 10.3390/photonics7020029 |
| Popis: | We study the transmission of electromagnetic waves through layered structures of metallic and left-handed media. Resonant band structures of transmission coefficients are obtained as functions of the incidence angle, the geometric parameters, and the number of unit cells of the superlattices. The theory of finite periodic systems that we use is free of assumptions, the finiteness of the periodic system being an essential condition. We rederive the correct recurrence relation of the Chebyshev polynomials that carry the physical information of the coherent coupling of plasmon modes and interface plasmons and surface plasmons, responsible for the photonic bands and the resonant structure of the surface plasmon polaritons. Unlike the dispersion relations of infinite periodic systems, which at best predict the bandwidths, we show that the dispersion relation of this theory predicts not only the bands, but also the resonant plasmons&rsquo frequencies, above and below the plasma frequency. We show that, besides the strong influence of the incidence angle and the characteristic low transmission of a single conductor slab for frequencies &omega below the plasma frequency &omega p , the coherent coupling of the bulk plasmon modes and the interface surface plasmon polaritons lead to oscillating transmission coefficients and, depending on the parity of the number of unit cells n of the superlattice, the transmission coefficient vanishes or amplifies as the conductor width increases. Similarly, the well-established transmission coefficient of a single left-handed slab, which exhibits optical antimatter effects, becomes highly resonant with superluminal effects in superlattices. We determine the space-time evolution of a wave packet through the &lambda / 4 photonic superlattice whose bandwidth becomes negligible, and the transmission coefficient becomes a sequence of isolated and equidistant peaks with negative phase times. We show that the space-time evolution of a Gaussian wave packet, with the centroid at any of these peaks, agrees with the theoretical predictions, and no violation of the causality principle occurs. |
| Databáze: | OpenAIRE |
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