A Geometrical Analysis of Diffraction Based on Fractal Inhomogeneous Space

Abstract

Although the diffraction of light is a simple experiment in optics, no complete interpretation that satisfactorily describes diffraction in any instance has been developed. Classical physics is unable to describe diffraction phenomena by considering photons solely as particles. In addition, modern mathematical solutions based on the wave-particle duality, including Rayleigh–Sommerfeld diffraction theory, are merely approximations, and fail to provide a model that can be applied to the diffraction caused by both transparent and opaque barriers. This study proposes a diffraction model that can account for both single photons and larger particles, such as electrons, in an inhomogeneous space near the surface of the objects, including the edges of the apertures. Furthermore, a three-dimensional model for calculating the light intensity at any arbitrary observation point is presented. This model provides accurate diffraction simulations and is independent of the near and the far-field zones as well as the aperture material.