Geometric Optics on Phase Space

Kurt Bernardo Wolf

ISBN 10: 3540220399 / ISBN 13: 9783540220398

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 2004, 2004

Beschreibung

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 396 pp. Englisch.

Bestandsnummer des Verkäufers 9783540220398

Bibliografische Details

• Titel: Geometric Optics on Phase Space
• Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 2004
• Erscheinungsjahr: 2004
• Sprache: Englisch
• ISBN-10: 3540220399
• ISBN-13: 9783540220398
• Einband: Buch
• Zustand: Neu
• Abmessungen: 241B x 160 H x 26 T Millimeter Breite: 241 mm, Höhe: 160 mm, Tiefe: 26 mm
• Gewicht: 758 Gramm

Über diesen Titel

Inhaltsangabe

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.