Holographic Imaging and Operator Algebra using Gaussian Laser Beam

Abstract

In this book, six chapters are given. In chapter 1, the operator algebra concept is introduced based on Fourier optics techniques and convolution operations in order to compute the point spread function corresponding to some modulated apertures. The gaussian laser beam is considered in the analysis. Three successive chapters 2, 3, and 4 on the formation of improved Fourier holographic images are presented. The 2nd chapter is concerned with the basics of holographic imaging and Fourier holography. The 3rd chapter investigated the digital Fourier hologram applied to the Argon plasma images. While the 4th chapter is concentrated on the processing and segmentation of cancerous mammographic images using improved Fourier Holograms. In chapters 3 and 4 the image processing of the improved reconstructed images is attained using Wiener filters. Another two chapters 5, and 6 on the scanning of Fresnel holograms. Where in chapter 5, circular and linear apertures are considered while in chapter 6, the quadratic aperture is used instead of the circular aperture for the formation of the scanning hologram. Compromising of resolution and contrast is claimed using these quadratic apertures since it has the optimum resolution as compared with linear and circular apertures.