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This work is focussed on the role of the angle of incidence of an incomingelectromagnetic wave in its transmission through a subwavelength nano-hole in athin semiconductor plasmonic layer. Fully detailed calculations and results areexhibited for $ p$- and $s$-polarizations of the incident wave for a variety ofincident angles in the near, middle and far zones of the transmitted radiation.Our dyadic Green's function formulation includes both (1) the electromagneticfield transmitted directly through the $ 2D $ plasmonic layer superposed with(2) the radiation emanating from the nano-hole. Interference fringes due tothis superposition are explicitly exhibited. Based on an integral equationformulation, this dyadic Green's function approach does not involve any appealto metallic boundary conditions. It does incorporate the role of the $ 2D $plasmon of the semiconductor layer, which is smeared due to its lateral wavenumber dependence. We find that the interference fringes, which are clusterednear the nano-hole, flatten to a uniform level of transmission directly throughthe sheet alone at large distances from the nano-hole. Furthermore, as theincident angle increases, the axis of the relatively large central transmissionmaximum through the nano-hole follows it, accompanied by a spatial compressionof interference fringe maxima forward of the large central transmissionmaximum, and a spatial thinning of the fringe maxima behind it.

Incident-Angle Dependence of Electromagnetic Wave Transmission through a Nano-hole in a Thin Plasmonic Semiconductor Layer