Lie Methods in Optics: Proceedings of the Second Workshop Held at Cocoyoc, Mexico July 19-22, 1988: 352 - Rilegato

 
9783540521235: Lie Methods in Optics: Proceedings of the Second Workshop Held at Cocoyoc, Mexico July 19-22, 1988: 352

Sinossi

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.

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Contenuti

Lie methods in optics: An assessment.- Holographic image processing, coherent optical computing, and neural computer architecture for pattern recognition.- Canonical integration and analysis of periodic maps using non-standard analysis and Lie methods.- Concatenation of Lie algebraic maps.- Dispersion-diffraction coupling in anisotropic media and ambiguity function generation.- Elements of euclidean optics.- The map between Heisenberg-Weyl and Euclidean optics is comatic.

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Altre edizioni note dello stesso titolo

9783662137680: Lie Methods in Optics II: Proceedings of the Second Workshop Held at Cocoyoc, Mexico July 19–22, 1988: 352

Edizione in evidenza

ISBN 10:  3662137682 ISBN 13:  9783662137680
Casa editrice: Springer, 2014
Brossura