Helmholtz Green's function for scalar wave propagation through a nano-hole on a plasmonic layer

TL;DR

This paper derives an exact analytical solution for scalar wave propagation through a nano-hole on a plasmonic layer using Green's functions, providing insights into the wave behavior and dispersion relations in such nanostructures.

Contribution

It introduces a closed-form analytic solution for the Green's function in nano-hole plasmonic systems, advancing the theoretical understanding of wave propagation at the nanoscale.

Findings

Exact Green's function solution for nano-hole wave propagation

Derived dispersion relations for plasmonic layers with nano-holes

Analytic framework applicable to nano-optics and plasmonics

Abstract

An integral equation formulation is presented for describing the scalar wave propagation through a nano-hole on a plasmonic layer in terms of scalar Green's function for the associated Helmholtz problem. Taking the radius of the nano-hole to be the smallest length parameter of the system, we obtain an exact closed-form analytic solution of the integral equation for the scalar Green's function for scalar wave propagation through the nano-hole and the dispersion relations for such a plasmonic layer.