1st Edition

Fourier Theory in Optics and Optical Information Processing

By Toyohiko Yatagai Copyright 2022
    247 Pages 153 B/W Illustrations
    by CRC Press

    Fourier analysis is one of the most important concepts when you apply physical ideas to engineering issues. This book provides a comprehensive understanding of Fourier transform and spectral analysis in optics, image processing, and signal processing. Written by a world renowned author, this book looks to unify the readers understanding of principles of optics, information processing and measurement. This book describes optical imaging systems through a linear system theory. The book also provides an easy understanding of Fourier transform and system theory in optics. It also provides background of optical measurement and signal processing. Finally, the author also provides a systematic approach to learning many signal processing techniques in optics. The book is intended for researchers, industry professionals, and graduate level students in optics and information processing.

    1. Light and Wave, 2. Interference and Diffraction, 3. Fourier Transform and Convolution, 4. Linear System, 5. Discrete Fourier Transform and Fast Dourier Transform, 6. Fourier Optics, 7. Holography, 8. Optival Computing, 9. Analytic Signal and Hilbert Transform, 10. Coherence, Specroscopy and Fringe Analysis, 11. Spatio-Temporal Signal Processing, 12. Wigner Distribution Function, 13. Fractional Fourier Transform, Appendix A. Numerical Calculation of Discrete Fresnel Diffraction, Appendix B. Numerical Calculation of Fresnel Hologram, Solutions to Selected Problems.


    Toyohiko Yatagai received BE and PhD in applied physics from the University of Tokyo, in 1969 and 1980, respectively. From 1970 to 1983 he was with Institute of Physical and Chemical Research. He joined the faculty of Institute of Applied Physics, University of Tsukuba in 1983, where he worked on optical instrumentation and optical information processing. In 2007 he moved to Utsunomiya University to launch Center for Optical Research and Education. He is a fellow of SPIE, OSA and JSAP. He was the president of Japan Society of Optics in 2009-2010 and the president of SPIE in 2015. His current research interests include optical measurement, 3-D imaging and display and holographic optical memory.