A Novel Theory for the Scattering of P-Polarized Hermite-Gaussian Electromagnetic Beams by a Double Metallic Nano-Slit

I Guzman-Montano,J Sumaya-Martinez,P Rosendo-Francisco,G Montiel-Gonzalez,J Reyes-Gomez

doi:10.5539/apr.v11n4p1

Abstract

We present a rigorous theory for oblique incident Hermite-Gaussian beams, diffracted by two optical nano-slits of width l and separation d, in a thick metallic screen for the case of polarization TM (P). The far field spectra as a function of several opto-geometrical parameters, wavelength &lambda; , slit width l, separation d , incidence angle &theta;i &nbsp;and Hermite order m &nbsp;is analyzed. In the vectorial diffraction region given when &lambda; /l &gt;0.2, where l is the incident wavelength and as a function of the separation between slits d; we have numerically analyzed: the far field spectra, the energy diffracted along the incident beam direction Ei , and the validity of an approximate diffraction (scalar) property, namely Ei= Ntao/lambda . &nbsp;

Highlights

There are several rigorous theories of diffraction by plane electromagnetic waves (Enriquez et al, 2011) and Gaussian beams (Mata et al, 1993, 1994) by two slits in metallic screens of zero thickness
In this paper we present a novel rigorous theory of diffraction that allows to consider the illumination by Hermite-Gaussian beams at oblique incidence onto two nano-slits of width and separation d in screens with infinite conductivity and thickness h
In the figures relating to energy diffracted along the direction of the incident beam is E (θ = θ ) the diffracted angle in the direction of the incident beam, measured from the axis Ox and θ is the angle of incident beams to the axis Oy measured

Summary

Introduction

There are several rigorous theories of diffraction by plane electromagnetic waves (Enriquez et al, 2011) and Gaussian beams (Mata et al, 1993, 1994) by two slits in metallic screens of zero thickness. We analyze the coupling between slits through the numerical study of the diffracted energy along the direction of the incident (E ) beam energy as a function of the parameter of separation d between the slits. It is revealed the existence of oscillations in the energy E.

Objectives

Results

Conclusion