Wave Propagation and Diffraction Through a Subwavelength Nano-Hole in a 2D Plasmonic Screen

Abstract

This article addresses the subject of subwavelength transmission and diffraction by a two dimensional plasmonic screen/layer with an embedded nano-hole aperture. The dynamical development of a prototypical scalar wave (incident at an arbitrary angle) is traced in terms of the associated Helmholtz Green’s function. The latter is derived through the exact analytic solution of a succession of integral equations which obviate the need to specify boundary conditions separately. The resulting wave transmission/diffraction is evaluated numerically and exhibited graphically: It includes the finite plasmonic response of the 2D layer jointly with that of the subwavelength nano-hole aperture, for an arbitrary angle of incidence.