Fano interference in surface plasmon resonances
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NESTERENKO, Dmitry, HAYASHI, S., SEKKAT, Zouheir. Fano interference in surface plasmon resonances. In: Materials Science and Condensed Matter Physics, Ed. 9, 25-28 septembrie 2018, Chișinău. Chișinău, Republica Moldova: Institutul de Fizică Aplicată, 2018, Ediția 9, p. 211.
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Materials Science and Condensed Matter Physics
Ediția 9, 2018
Conferința "International Conference on Materials Science and Condensed Matter Physics"
9, Chișinău, Moldova, 25-28 septembrie 2018

Fano interference in surface plasmon resonances

CZU: 535.415+538.9+539.2+621.3.048

Pag. 211-211

Nesterenko Dmitry12, Hayashi S.34, Sekkat Zouheir56
 
1 Image Processing Systems Institute,
2 Samara National Research University,
3 Kobe University, Kobe,
4 Mohammed V. University in Rabat, Rabat,
5 Moroccan Foundation for Advanced Science, Innovation and Research, Rabat,
6 Osaka University
 
Disponibil în IBN: 8 februarie 2019


Rezumat

Surface plasmon polaritons (SPPs) are coupled modes of collective oscillation of free electrons in metal and electromagnetic (EM) evanescent field. The excitation of the SPP modes at metal-dielectric interfaces using high-index prisms was proposed by Otto [1] and Kretchmann and Raether [2] in 1968 under attenuated total reflection (ATR) conditions. In their planar multilayer structures, the excitation results in notable resonance effects observed as asymmetric spectral resonance line shapes and high field enhancement. Since the first observations, the asymmetric resonance features in spectra have been commonly considered as Lorentzian functions. The asymmetry in resonanses, which is typical for physical oscillating systems, were first explained by Fano in terms of the interference of responses from continuum and discrete states of the systems [3]. To examine whether the asymmetric SPP ATR dips observed in the Kretschmann and Otto configurations can be interpreted as Fano line shapes or not, we have analyzed the reflectivity spectra of the two-layer systems consisting of a metal and dielectric, and those of the three-layer systems composing the Kretschmann and Otto configurations [4]. We started from exact electromagnetic expressions of the reflectivity and obtained approximate expressions near the SPP resonances. Near the SPP resonance the approximate expressions reproduce well the reflectivity spectra for both the two-layer and three-layer systems calculated by the exact expression as demonstrated for silver films in Fig. 1. Our analyses show that the two-layer structure exhibits a non-resonant component and a resonant component arising from the SPP excitation, and the Fano line shape is a consequence of the interference of these components. In the case of three-layer structures, the resonant component is affected by self-coupling of the SPP mode. The self-coupling results in the shift of SPP propagation constant from the intrinsic values. We revealed that the shifts in opposite directions for the Kretschmann and Otto configurations are caused by the opposite signs of the resonance components at the metal-dielectric interface. For both the two-layer and three-layer systems, we developed also coupled mode (CM) theories that analytically describe the physical processes of the field transfer and their impact on the resonance line shape. The CM theories allowed us to derive analytical expressions of the resonance line shapes, which are identical with Fano-type approximate expressions obtained by the electromagnetic theories. After all, we can conclude that the asymmetric SPP line shapes can be well approximated by Fano line shapes.