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Titlebook: Lie Methods in Optics II; Proceedings of the S Kurt Bernardo Wolf Conference proceedings 1989 Springer-Verlag Berlin Heidelberg 1989 develo

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书目名称Lie Methods in Optics II
副标题Proceedings of the S
编辑Kurt Bernardo Wolf
视频video
丛书名称Lecture Notes in Physics
图书封面Titlebook: Lie Methods in Optics II; Proceedings of the S Kurt Bernardo Wolf Conference proceedings 1989 Springer-Verlag Berlin Heidelberg 1989 develo
描述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.
出版日期Conference proceedings 1989
关键词development; interferometry; neural networks; optics; quantization; structure
版次1
doihttps://doi.org/10.1007/BFb0012741
isbn_softcover978-3-662-13768-0
isbn_ebook978-3-540-46878-3Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer-Verlag Berlin Heidelberg 1989
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Holographic image processing, coherent optical computing, and neural computer architecture for pattaper points out a unified metaplectic approach to signal geometry such as holographic image processing, coherent optical computing, and neural computer architecture for pattern recognition. Brief descriptions of hardware implementations are also included.
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Canonical integration and analysis of periodic maps using non-standard analysis and Lie methods,; where one perturbs or observes the phase space. At most the total number of locations is equal to the total number of steps of our integrator. We can also produce pseudo-Hamiltonians which describe the motion induced by these maps.
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Concatenation of Lie algebraic maps,elerator beam dynamics and optics. The concatenation could represent, for instance, the combined effects of two successive beamline elements in a particle accelerator. In this case, inhomogeneous terms can arise when there are placement, alignment, or powering errors.
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