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Bridging Ray and Wave Optics via the Wigner Phase-Space Picture
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By
Amalia Torre
Description
Ray, wave and quantum concepts are central to diverse and seemingly incompatible models of light. Each model particularizes a specific
''manifestation'' of light, and then corresponds to adequate physical assumptions and formal approximations, whose domains of applicability
are well-established. Accordingly each model comprises its own set of geometric and dynamic postulates with the pertinent mathematical
means.
At a basic level, the book is a complete introduction to the Wigner optics, which bridges between ray and wave optics, offering
the optical phase space as the ambience and the Wigner function based technique as the mathematical machinery to accommodate between
the two opposite extremes of light representation: the localized ray of geometrical optics and the unlocalized wave function of wave
optics.
At a parallel level, the analogies with other branches of both classical and quantum physics, like classical and quantum mechanics,
quantum optics, signal theory as well as magnetic optics, are evidenced by pertinent comments and/or rigorous mathematics. So, the Lie
algebra and group methods are introduced and explained through the elementary optical systems within both the ray and wave optics contexts,
the former being related to the symplectic group and the latter to the metaplectic group. In a like manner, the Wigner function is introduced
by following the original issue to individualize a phase space representation of quantum mechanics, which is mirrored by the issue to
individualize a local frequency spectrum within the signal theory context.
The basic analogy with the optics of charged particles inherently
underlying the ray-optics picture in phase space is also evidenced within the wave-optics picture in the Wigner phase space.
Audience
Researchers in optics, graduate and undergraduate students
Contents
Preface
1. Hamiltonian Picture of Light Optics. First-Order Ray Optics
2. First-Order Optical Systems: The Ray-Transfer Matrix
3. The
Group of 1D First-Order Optical Systems
4. Wave-Optical Picture of First-Order Optical Systems
5. 1D First-Order Optical Systems: The
Huygens-Fresnel Integral
6. The Wigner Distribution Function: Analytical Evaluation
7. The Wigner Distribution Function: Optical Production
8. 1D First-Order Optical Systems: The Transfer Laws for the Wigner Distribution Function
9. 1D First-Order Optical Systems: Moments
of the Wigner Distribution Function.
Index
| Bibliographic details |
Hardbound, 540 pages, publication date: NOV-2005
ISBN-13: 978-0-444-51799-9
ISBN-10: 0-444-51799-5
Imprint: ELSEVIER
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| Price and Ordering |
Price:
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USD 205
EUR 156.95
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Last update: 7 Sep 2009
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