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Lie Methods in Optics II

Proceedings of the Second Workshop Held at Cocoyoc, Mexico July 19–22, 1988

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. Kurt Bernardo Wolf
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Part of the book series: Lecture Notes in Physics (LNP, volume 352)

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Table of contents (7 papers)

  1. Front Matter

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  2. Lie methods in optics: An assessment

    • Peter W. Hawkes
    Pages 1-17

  3. Holographic image processing, coherent optical computing, and neural computer architecture for pattern recognition

    • Walter Schempp
    Pages 19-45

  4. Canonical integration and analysis of periodic maps using non-standard analysis and Lie methods

    • Etienne Forest, Martin Berz
    Pages 47-66

  5. Concatenation of Lie algebraic maps

    • Liam M. Healy, Alex J. Dragt
    Pages 67-95

  6. Dispersion-diffraction coupling in anisotropic media and ambiguity function generation

    • Moshe Nazarathy, Joseph W. Goodman, Mark Kauderer
    Pages 97-113

  7. Elements of euclidean optics

    • Kurt Bernardo Wolf
    Pages 115-162

  8. The map between Heisenberg-Weyl and Euclidean optics is comatic

    • Vladimir I. Man'ko, Kurt Bernardo Wolf
    Pages 163-197

  9. Back Matter

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Keywords

About this book

Recent developments in Lie methods applied to various problems in optics and computer design are surveyed in this volume, based on lectures given and work done at the 1988 workshop held in Cocoyoc, Mexico. Topics discussed include perturbation expansions, the mathematical foundations of coherent optical computing, holographic image and interferometry, neural architecture for pattern recognition, recent progress in symbolic calculations with Lie structures together with applications, the operations of convolution and correlation of signals performed by optical means, wide-angle optics based on the Euclidean group of motions and its relation to the Heisenberg-Weyl approach to canonical quantization. Applications discussed include computer design, particle optics in the Superconducting Supercollider, and neural networks. Computational techniques are emphasized. This volume is an excellent introduction to a rather active field of research and can be recommended to graduate students as well as to researchers.

Bibliographic Information

  • Book Title: Lie Methods in Optics II

  • Book Subtitle: Proceedings of the Second Workshop Held at Cocoyoc, Mexico July 19–22, 1988

  • Editors: Kurt Bernardo Wolf

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/BFb0012741

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-3-662-13768-0Published: 23 August 2014

  • eBook ISBN: 978-3-540-46878-3Published: 13 November 2005

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: XII, 200

  • Topics: Mathematical Methods in Physics, Numerical and Computational Physics, Simulation

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