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Geometric Optics on Phase Space
Paperback
Series: Theoretical and Mathematical Physics
Technology & EngineeringPhysics
ISBN13: 9783642060366
Publisher: Springer Nature
Published: Dec 1 2010
Pages: 376
Weight: 1.22
Height: 0.81 Width: 6.14 Depth: 9.21
Language: English
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.
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