Diffraction gratings for the Experimental study by using a CCD camera

The capability of a biconvex lens in performing Fourier transformation . As a result of this capability  one can work in the spatial   frequency domain to achieve filtering process . Consequently there are potential possibilities to use the previous capability in processing the recorded image in addition to a real time processing . Hence there are potential applications in processing the optical data in the fields of  astronomy , microscopy , medical imaging , crystallography , and pattern recognition . Two types of digital  cameras have been utilized to record the experimental results  , one of them an ordinary  HD camera with  (12 Mega Pixels ) resolution and the other one is  a CCD camera  to record the power  distribution of the Fourier transform in the spatial frequency domain . Good agreement is obtained between experimental and numerical results

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

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