Electromagnetic Green's function for layered systems: Applications to nanohole interactions in thin metal films

Abstract

We derive expressions for the electromagnetic Green's function for a layered system using a transfer matrix technique. The expressions we arrive at makes it possible to study symmetry properties of the Green's function, such as reciprocity symmetry, and the long-range properties of the Green's function which involves plasmon waves as well as boundary waves, also known as Norton waves. We apply the method by calculating the light scattering cross section off a chain of nanoholes in a thin Au film. The results highlight the importance of nanohole interactions mediated by surface plasmon propagating along the chain of holes.

14 pages, 9 figures

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• Theory of extraordinary optical transmission through subwavelength hole arrays
• Transmission resonances on metallic gratings with very narrow slits
• Colloquium: Light scattering by particle and hole arrays
• Surface-enhanced Raman scattering and fluorescence near metal nanoparticles
• Calculating photonic Green's functions using a non-orthogonal finite difference time domain method
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• Coherent transfer matrix analysis of the transmission spectra of Rydberg excitons in Cuprous Oxide
• Waveguide QED with Moessbauer Nuclei
• Superradiance and anomalous hyperfine splitting in inhomogeneous ensembles