Surface plasmon dispersion curve

FIGURE 38. Surface plasmon dispersion curve (o(k ). k Wave vector due to roughness. The experimental arrangements due to Otto and Kretschmann for surface plasmon excitation in ATR are also shown. 

FIGURE 39, Surface plasmon dispersion curves for Ag single-crystal electrodes in 0.5 M NaC104. Note the anisotropy in the optical response for Ag(llO). After Ref. 111. 

Hamanaka, Y., Nakamura, A., Hayashi, N., Omi, S. Dispersion curves of complex third-order optical susceptibilities around the surface plasmon resonance in Ag nanocrystal-glass composites. 

Table 5.2-13 gives some of the parameters of surface plasmons for various metals. d (a>) is, in the jellium model, the distance of the centroid of the induced charge from the surface plane. d > 0 means that the centroid is outside the edge of the jellium. Figure 5.2-31 shows the dispersion curves of surface plasmons for Al(lll). For a more detailed discussion see [2.12]. 

In the opposite limit of infinitely large wavenumbers ( > > cop], the SPP dispersion curve approaches the surface plasmon frequency... 

Fig. 3.3 The dispersion curve of a surfece plasmon poiariton at a metai-vacuum interlace. The inclined straight line corresponds to the dispersion of light propagating in vacuum, parallel to the metal surface. The horizontal line represents the frequency of the surface plasmon poiariton in the nonretarded limit, lOp/ /2.

Figure 3.3 shows the dispersion law of surface plasmon polaritons at a metal-vacuum interface e = 1). The curve w q) is located to the right from the light line indicating that a SP cannot be excited by light. Its limiting value ojs = copi V2 corresponds to the frequency of surface plasmons (see Section 2.1.3). 

In Section 4.3 we have considered surface polariton spectroscopy in the infrared region. As distinct from that case, SPs in the optical spectral range exist mainly on metal surfaces, i.e., as surface plasmon polaritons (SPP). The SPP dispersion curve extends from the far-infrared up to the far-ultraviolet region and thus it can be excited at any frequency in this range. This allows one to use SPPs as an optical probe of various overlayers on metal surfaces and in-... 

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