Geometric Optics on Phase Space - Brossura

Wolf, Kurt Bernardo Bernardo

 
9783642060366: Geometric Optics on Phase Space
Brossura
ISBN 10: 3642060366 ISBN 13: 9783642060366
Casa editrice: Springer, 2010

Sinossi

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. Researchers and graduate students will appreciate the beautiful similarities between Hamilton's mechanics and this approach to optics.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2010
Lingua
Inglese
ISBN 10 
3642060366
ISBN 13 
9783642060366
Rilegatura
Copertina flessibile
Numero di pagine
396
Contatto del produttore
non disponibile
Persona responsabile
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ProductSafety@springernature.com

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Heidelberg
69115
Germania

Altre edizioni note dello stesso titolo

9783540220398: Geometric Optics On Phase Space

Edizione in evidenza

ISBN 10:  3540220399 ISBN 13:  9783540220398
Casa editrice: Springer Nature, 2004
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