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arXiv · 2102.06948

The Surface response around a sharply resonant surface polariton mode is simply a Lorentzian

J. C. de Aquino Carvalho·D. Bloch
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Abstract

At the planar interface between a material and vacuum, the complex surface response S(omega)=[eps(omega) 1]/[eps(omega)+1], with eps(omega) the relative complex dielectric permittivity of the material, exhibit resonances, typical of the surface polariton modes, when eps(omega) ~ 1. We show that for a moderately sharp resonance, S(omega) is satisfactorily described with a mere (complex) Lorentzian, independently of the details affecting the various bulk resonances describing ) eps(omega). Remarkably, this implies a quantitative correlation between the resonant behaviors of Re[S(omega)] and Im[S(omega)], respectively associated to dispersive and dissipative effects in the surface near-field. We show that this "strong resonance" approximation easily applies, and discuss its limits, based upon published data for sapphire, CaF2 and BaF2. Extension to interfaces between two media or to a non planar interface is briefly considered.

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J. C. de Aquino Carvalho, D. Bloch. 2021-05-26. The Surface response around a sharply resonant surface polariton mode is simply a Lorentzian. https://doi.org/10.1364/ol.422816

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