Introduction to Fourier Optics

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Introduction to Fourier Optics is the standard teaching and reference text for Fourier Optics and optical Information processing. Over the years, applications of these principles have been important in diverse fields such as pattern recognition, image processing, displays, sensors, communications, data storage and imaging systems. Previous editions have included updated material on holography and wavefront modulation. In this most recent edition,a new chapter describes devices and techniques important for optical communications, emphasizing the interplay between time, temporal frequency, space and spatial frequency. Topics such as fiber Bragg gratings, ultrashort pulse shaping and spectral holography are presented in the same clear and understandable yet detailed manner as the other topics in the text. Once again, the use of Fourier techniques provides particular insight into the principles and applications of these important new fields. This latest edition is an outstanding enhancement of this classic text.?

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Joseph W Goodman is William Ayer Professor Emeritus. He held the William Ayer Chair in Electrical Engineering at Stanford and also served in several administrative posts. Table of Contents Introduction Analysis of two-dimensional signals and systems Fourier analysis in two dimensions Spatial frequency and space-frequency localization Linear systems Two-dimensional sampling theory Foundation of scalar diffraction theory Historical introduction From vector to a scalar theory Some mathematical preliminaries The Kirchhoff formulation of diffraction by a scalar screen The Rayleigh-Sommerfeld formulation of diffraction Comparison of the Kirchoff and Rayleigh-Sommerfeld theories Further discussion of the Huygens-Fresnel principle Generalization to Non monochromactic waves Diffraction at boundaries The angular spectrum of plane waves Fresnel and Fraudsters diffraction The Fresnel approximation Examples of Fraunhofer diffraction patterns Examples of Fresnel diffraction calculations Wave-optics analysis of coherent optical systems A thin lens as a phase transformation Fourier transforming properties of lenses Image formation: Monochromatic illumination Analysis of complex coherent optical systems Frequency analysis of optical imaging systems Generalized treatment of imaging systems Frequency response for diffraction-limited coherent imaging Frequency response for diffraction-limited incoherent imaging Aberrations and their effects on frequency response Comparison of coherent and incoherent imaging Wavefront modulation Wavefront modulation with photographic film Diffractive optical elements Spatial light modulators Analog optical information processing The VanderLugt Filter The joint transform correlator Application to character recognition The joint transform correlator Optical approaches to invariant pattern recognition Image restoration Processing synthetic-aperture Radar (SAR) data Acousto-Optic signal processing systems Discrete analog optical processors Holography The wavelength reconstruction problem The Gabor Hologram The Leith-Upatnieks Hologram Image locations and magnifications Some different types of holograms Thick holograms Recording material Computer-generated holograms Degradations of holographic images Applications of holography Delta functions and Fourier Transform Theorems Introduction to Paraxial Geometric Optics The Grating Equation.