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Geometric Optics On Phase Space
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Bibliographic Detail
Publisher Springer Verlag
Publication date September 1, 2004
Pages 373
Binding Hardcover
Book category Adult Non-Fiction
ISBN-13 9783540220398
ISBN-10 3540220399
Dimensions 1 by 6.25 by 9.25 in.
Weight 1.55 lbs.
Published in Europe
Original list price $159.00
Other format details sci/tech
Summaries and Reviews
Amazon.com description: Product Description:

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.



Editions
Hardcover
Book cover for 9783540220398
 
The price comparison is for this edition
from Springer Verlag (September 1, 2004)
9783540220398 | details & prices | 373 pages | 6.25 × 9.25 × 1.00 in. | 1.55 lbs | List price $159.00
About: Symplectic geometry, well known as the basic structure of Hamiltonian mechanics, is also the foundation of optics.
Paperback
Book cover for 9783642060366
 
from Springer Verlag (September 1, 2004)
9783642060366 | details & prices | 388 pages | 6.00 × 9.00 × 0.75 in. | 1.25 lbs | List price $159.00
About: Symplectic geometry, well known as the basic structure of Hamiltonian mechanics, is also the foundation of optics.

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