Geometric Optics on Phase Space
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"Geometric Optics on Phase Space" by Kurt Bernardo Wolf is a mathematics book and learning resource focused on Light & Optics. Best for teachers, students, and readers looking for stronger mathematical understanding.
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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"Geometric Optics on Phase Space" by Kurt Bernardo Wolf is a mathematics book and learning resource focused on Light & Optics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Light & Optics
Author: Kurt Bernardo Wolf
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
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.
| Author | Kurt Bernardo Wolf |
| Publisher | Springer |
| Published | 2010-12-01 |
| ISBN-13 | 9783642060366 |
| Binding | Paperback |
| Pages | 376 |
| Language | English |
| Subjects | Science |
| Topic | Light & Optics |
| Series | Theoretical and Mathematical Physics |
Format: Paperback
Length: 376 pages
Language: English
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