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Geometric Optics on Phase Space

Name: Geometric Optics on Phase Space
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 02107977
Price: 107.29 EUR
Availability: InStock
Author: K. B. Wolf
ISBN: 9783540220398

K. B. Wolf

Language

English

Book Hardback

Libristo code: 02107977

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, July 2004

Symplectic geometry, well known as the basic structure of Hamiltonian mechanics, is also the foundat... Full description

Libristo code: 02107977

263 b

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Symplectic geometry, well known as the basic structure of Hamiltonian mechanics, is also the foundation of optics. In fact, optical systems (geometric or wave) have an even richer symmetry structure than mechanical ones (classical or quantum). The symmetries underlying the geometric model of light are based on the symplectic group. Geometric Optics on Phase Space develops both geometric optics and group theory from first principles in their Hamiltonian formulation on phase space. This treatise provides the mathematical background and also collects a host of useful methods of practical importance, particularly the fractional Fourier transform currently used for image processing. The reader will appreciate the beautiful similarities between Hamilton's mechanics and this approach to optics. The appendices link the geometry thus introduced to wave optics through Lie methods. The book addresses researchers and graduate students.