Published in Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), Volume 5931, January 1, 2005, pages 59310W-1-59310W-6.
Copyright © 2005 Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. This paper is also available at http://dx.doi.org/http://dx.doi.org/10.1117/12.618798.
NOTE: At the time of publication, the author Glen Gillen was not yet affiliated with Cal Poly.
It is well known that “vector” diffraction theory needs to be invoked to describe the propagation of light through apertures having dimensions on the order of the wavelength of light. For regions close to the aperture, use of Kirchhoff boundary conditions in the aperture plane is invalid. The Hertz vector formalism provides a way to describe the diffraction of light beams through apertures having sizes ranging from half the wavelength of light to larger values. Here we will present a summary of the method used to calculate the distribution of all of the electromagnetic field components and a Poynting vector component at and near the plane of a single elliptical aperture.