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We have studied the dispersion relation of surface plasmons on rough surfaces with spatially dispersive optical response. The theoretical work is based on the Rayleigh-Fano hypothesis, giving an exact solution of all amplitudes of the diffracted partial waves. One-dimensional roughness with TM polarization for the incident, reflected and transmitted light has been considered. The longitudinal mode has been included by using hydrodynamic dielectric function. We obtain our results from the resonance positions of the reflectivities for a corrugated vacuum-Ag interface and compare with the solution from the secular equation.
Shu Wang
"Surface plasmons on nonlocal corrugated interface", Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 27784R (1 September 1996); https://doi.org/10.1117/12.2299054
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Shu Wang, "Surface plasmons on nonlocal corrugated interface," Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 27784R (1 September 1996); https://doi.org/10.1117/12.2299054