TY  - BOOK
AU  - Wolf,Kurt Bernardo
ED  - SpringerLink (Online service)
TI  - Lie Methods in Optics II: Proceedings of the Second Workshop Held at Cocoyoc, Mexico July 19–22, 1988 
T2  - Lecture Notes in Physics,
SN  - 9783540468783
AV  - QC5.53 
U1  - 530.15 23
PY  - 1989///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Physics
KW  - Mathematical physics
KW  - Electromagnetism
KW  - Mathematical Methods in Physics
KW  - Numerical and Computational Methods
KW  - Electromagnetism, Optics and Lasers
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0012741
ER  -