Dispersion relation, plasmonic

K. and Okamoto, H. (2005) Imaging and dispersion relations of surface plasmon... 

Solving Maxwell s equations at the metal/dielectric interface at the appropriate boundary conditions yields the surface plasmon dispersion relation, that is, the relation of the angular frequency co and the x-component of the surface plasmon wave vector kSP,... 

Fig. 1. Dispersion relation of (a) free photon in a dielectric, (b) free photon propagating in a coupling prism, and dispersion relations of surface plasmons at the interface between the metal and the dielectric before (PI) and after (P2) the deposition of a thin dielectric layer.

At the surface of metals, the surface plasmon-polaritons, also called "surface plasmons," are not the same as the "bulk" plasmons these surface plasmons are affected (i.e., shifted slightly in energy) by monolayer adsorbates thus Surface Plasmon Resonance (SPR) spectroscopy yields information about the nature of the binding of the adsorbates onto a metal surface. The surface plasmons are excited by a p-polarized electromagnetic wave (polarized in the plane of the film) that crosses a glass medium (1), such as a prism, and is partially reflected by a metallic film (2) and back into the glass medium the dispersion relation is... 

Surface plasmons (SPs) are surface electromagnetic waves that propagate parallel along a metal/dielectric interface. For this phenomenon to occur, the real part of the dielectric constant of the metal must be negative, and its magnitude must be greater than that of the dielectric. Thus, only certain metals such as gold, silver, and aluminum are usually used for SPR measurements. The dispersion relation for surface plasmons on a metal surface is ... 

Raether H (1982) Dispersion relation of surface plasmons on gold- and silver gratings. Opt Commun 42 217-222... 

Holland WR, Hall DG (1983) Surface-plasmon dispersion relation shifts induced by the interaction with localized plasma resonances. Phys Rev B 27 7765-7768... 

Figure 13.4 a) The dependence of integrated band-edge emission enhancement ratio of Al / AlOx / ZnO on AlO thickness (square dot). The dependence of Tp on AlO thickness (solid line), b) The dispersion relation of Al / AlOx / ZnO at different AlOx thickness, c) The plasmonic DOS of Al / AlO / ZnO at different AlOx thickness, d) The dependence of normalized quenching efficiency on Al / AlOx ZnO (solid circle). The best fit of experimental data using Fbrster energy transfer [17]. 

Shin H., Catrysse P. B., and Fan S. (2005). Effect of the plasmonic dispersion relation on the transmission properties of subwavelength cylindrical holes. Plys. Rev. B 72 085436. 

Dispersion Relation for Coupling of Surface and Adsorbed Layer 2D Plasmons Coupling of Surface and Quantum Well Plasmons Conclusions... 

Plasmon surface polaritons (PSPs) or surface plasmons are transverse magnetic waves that propagate along a metal-dielectric interface, their field amplitudes decaying exponentially perpendicular to the interface [29,30]. Their dispersion relation is given by... 

Fig. 4 A Schematic cross section of metal film growth and corresponding scanning electron micrographs (below) of the gold nanocavities fabricated with a = 350 nm latex spheres of thickness t for (a) ajl, (b) a, and (c) 2.1a [91]. B Measured energy dispersion of the reflectivity for TM polarized light as a function of the in-plane wave vector for increasing relative void depth, i=t/(2a) (a-c). Log color scale white dotted lines show a zone-folded plasmon dispersion, sample orientations of 4> = 30° in all cases, (i-iv) k space cuts through dispersion relation at (i) (i,E) = (0.25,2.2 eV) (ii) (i,E) = (0.4,2.2 eV) (in) (i,E) = (0.4,1.7 eV) (iv) (f, ) = (0.6,2.2 eV), symmetry shown above (i). Light shade corresponds to absorption features [93]...

Crozier K, Togan E, Simsek E, Yang T. 2007. Experimental measurement of the dispersion relations of the surface plasmon modes of metal nanoparticle chains. Opt. Sur. 15 17482-17493. 

The resonance energy and the wave vector of the plasmon can be obtained from the extinction peak wavelength of the transmission spectrum and the spatial oscillation period of the image of the nanorod, respectively. By plotting the wave vector of the plasmon vs. the resonance photon energy, the dispersion relation of the plasmon in the nanorod can be determined. Figure 4.10 shows the dispersion relation determined from near-field transmission measurements of various nanorods with... 

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