Plasmonic response of a nanorod in the vicinity of a metallic surface: local approach with analytical solution
Abstract
In this paper we present an analytical solution for the eigenmodes and corresponding electric fields of a composite system made of a nanorod in the vicinity of a plasmonic semiinfinite metallic system. To be specific, we choose Silver as the material for both the nanorod and the semiinfinite metal. The system is composed of two subsystems with different symmetries: the rod has polar symmetry, while the interface has a rectangular one. Using a boundary integral method, proposed by Eyges, we are able to compute analytically the integrals that sew together the two systems. In the end, the problem is reduced to a one of linear algebra, where all the terms in the system are known analytically. For large distances between the rod and the planar surface, only a few of those integrals are needed and a full analytical solution can be obtained. Our results are important to benchmark other numerical approaches and represent a starting point in the discussion of systems composed of nanorods and twodimensional materials.
 Publication:

Journal of Optics
 Pub Date:
 September 2021
 DOI:
 10.1088/20408986/ac1904
 arXiv:
 arXiv:2107.05300
 Bibcode:
 2021JOpt...23h5002V
 Keywords:

 plasmonics;
 nanorod;
 metallic;
 drude;
 photonics;
 Condensed Matter  Other Condensed Matter;
 Physics  Optics
 EPrint:
 Accepted for publication in Journal of Optics