Abstract

We calculate the light transmission by a subwavelength plasmonic array using the boundary element method for parallel cylinders with different cross-sections: circular or elliptic with axis ratio 4:1. We demonstrate that plasmonic resonance is sharper for the case of horizontal ellipses. This structure is susceptible to refractive index variations in the media since the high derivatives of reflection and transmission coefficients are near the angle of total internal reflection. To obtain an approximate analytical expression, we used the model of a metallic layer. We explore the “sandwich” structure with an anisotropic film between two dielectrics and demonstrate its quantitative agreement with numerical results.

Highlights

  • Plasmons are surface waves of conduction electrons inside the metallic film with a dielectric border

  • We considered circular and elliptic cylinders of a 4:1 axis ratio and treated changes in absorption, transmittance, and field enhancement factor

  • Plasmonic resonance in transmission and absorption characteristics was sharper for horizontal ellipses, where the curvature radius at the slit was minimal

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Summary

Introduction

Plasmons are surface waves of conduction electrons inside the metallic film with a dielectric border. Applications of surface plasmons are diverse: from optical biosensors [5,6,7] to the acceleration of relativistic electrons [8] and space jet engines [9]. The refractive index of the upper half-space strongly affects the angular and wavelength spectral characteristics of the scattering layer due to crucial changes in layer effective permittivity. Cylinders of the elliptical cross-section with different orientations are compared with the model, demonstrating its advantage

BEM Calculation
Anisotropic Layer
Conclusions
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