Wave Optics by Fourier Transform. Diffractions by Identical 3D Objects

Abstract

The aim of this work is to outline a method for studying wave optics in 3D space based on the well-known properties of the Fourier transform and the Heaviside, Dirac delta functions. Applications for obtaining the amplitudes of diffraction of plane waves by one then by many identical 3D objects utilizing convolution products are given. It results from this study that the forbidden (permitted) diffracted directions caused by an object is the same (altered) for many identical objects. Studies of diffractions of a plane wave k0 by sets of equidistant points, planes, prisms, spheres are given.

Keywords

• laws of wave optics
• object functions
• fourier transform
• fresnel formulae
• diffractions by prisms
• diffractions by spheres
• diffractions by sets of identical 3d objects