Zustand: Hervorragend | Seiten: 396 | Sprache: Englisch | Produktart: B�cher | 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.

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Bibliographic Details

Title

Geometric Optics on Phase Space

Publisher

J.B. Metzler

Publication Date

2004

Language

English

ISBN 10

3540220399

ISBN 13

9783540220398

Binding

Hardcover

Condition

Hervorragend

Seller catalogs

B�cher

About this title

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.

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.

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