Theoretical study for the power distribution of the Fourier transform in the spatial frequency domain

Abstract

Fourier transforms represent an important tool in applied mathmatics .  The first yield of its application was in electrical engineering , communications and temporal signal processing . In this work the  diffractive properties of a biconvex lens is utilized in a comparative study of the  Fourier transform in two  dimensional  spatial domain .The work includes theoretical calculations of the (2-D) Fourier transforms for certain geometrical object function in the spatial domain . The theoretical calculations made use of the MATLAB® software in creating the aperture's geometry and then calculating its Fourier transform .The digital  camera have been utilized to record the experimental results  is  a (CCD ) camera  to record the power  distribution of the Fourier transform in the spatial frequency domain .