Lie Methods in Optics II

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

  • Editors
  • Kurt Bernardo Wolf
Conference proceedings

Part of the Lecture Notes in Physics book series (LNP, volume 352)

Table of contents

  1. Front Matter
  2. Peter W. Hawkes
    Pages 1-17
  3. Liam M. Healy, Alex J. Dragt
    Pages 67-95
  4. Moshe Nazarathy, Joseph W. Goodman, Mark Kauderer
    Pages 97-113
  5. Kurt Bernardo Wolf
    Pages 115-162
  6. Vladimir I. Man'ko, Kurt Bernardo Wolf
    Pages 163-197
  7. Back Matter

About these proceedings


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.


development interferometry neural networks optics quantization structure

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-52123-5
  • Online ISBN 978-3-540-46878-3
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site
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