Geometric Optics On Phase Space - Couverture rigide

Wolf, Kurt Bernardo

Couverture rigide

ISBN 10 : 3540220399 ISBN 13 : 9783540220398

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 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.

A propos du livre

À propos de la quatrième de couverture

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.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 2004
• Langue: anglais
• ISBN 10: 3540220399
• ISBN 13: 9783540220398
• Reliure: Relié
• Nombre de pages: 373
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne