Geometric Optics on Phase Space (Theoretical and Mathematical Physics) - Hardcover

Wolf, Kurt Bernardo

 
9783540220398: Geometric Optics on Phase Space (Theoretical and Mathematical Physics)
Hardcover
ISBN 10: 3540220399 ISBN 13: 9783540220398
Publisher: Springer, 2004

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2004
Language
English
ISBN 10 
3540220399
ISBN 13 
9783540220398
Binding
Hardcover
Number of pages
391

Other Popular Editions of the Same Title

9783642060366: Geometric Optics on Phase Space (Theoretical and Mathematical Physics)

Featured Edition

ISBN 10:  3642060366 ISBN 13:  9783642060366
Publisher: Springer, 2010
Softcover