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Principles and Applications of Fourier Optics

Robert K Tyson


A staple of optical design and analysis for over 50 years, Fourier optics is a combination of the mathematical tools of Fourier analysis with the theory of linear systems developed in electrical engineering. Through this synthesis, classical problems in light propagation, diffraction, and image formation can be modeled and analysed. In this text, Robert Tyson presents the fundamentals of Fourier optics with sufficient detail to educate the reader, typically an advanced student or working scientist or engineer, to the level of applying the knowledge to a specific set of design or analysis problems. Instead of presenting complex multipage proofs of the underlying theory, the key results are presented with an explanation of the physical meaning and accompanied by appropriate literature references. The last half of the book explores some of the many and varied modern applications, including in imaging, interferometry, tomography, optical testing methods, pattern recognition, holography, data processing, encoding and encryption. Readers of this book will acquire an understanding of the principles and fundamentals to enable them to appreciate the range of applications and be able to competently start using Fourier optics in their research or industrial work.

About Editors

Robert Tyson is a Fellow of SPIE and professor emeritus at the Department of Physics and Optical Sciences, The University of North Carolina at Charlotte. Before joining the faculty of UNC, Robert worked in aerospace industry (United Technologies Corporation and Schafer Corporation) for more than 20 years. Working in the field of atmospheric propagation and adaptive optics, he has authored seven books in adaptive optics at various levels as well as graduated a number of master's and PhD students whose research was in physical (or Fourier) optics.

Table of Contents

1 Theory of optical propagation and diffraction
2 Fourier analysis and linear systems
3 Fresnel and Fraunhofer diffraction and wave optics
4 Fourier transforms and optics
5 Imaging systems and aberrations
6 Enabling applications
7 Practical applications


Hardback ISBN: 9780750310574

Ebook ISBN: 9780750310567

DOI: 10.1088/978-0-750-31056-7

Publisher: Institute of Physics Publishing


The subject matter of the book is well organized and is easily understandable... Overall, the book is well written and useful for applied physicists and engineers.

Om Prakash Singh 2014 Zentralblatt MATH 1359, FIZ Karlsruhe – Leibniz Institute for Information Infrastructure

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