Linear Ray and Wave Optics in Phase Space

Ray, wave and quantum concepts are central to different and seemingly incompatible models of light. Each model particularizes a specific 'manifestation' of light, and then it corresponds to the physical physical assumptions and formal approximations, whose domains of applicability are well-established. Accordingly each model includes its pertinent mathematical means.

At the basic level, the book is a complete introduction to Wigner optics, which bridges between ray and wave optics; light representation: the localized ray of geometrical optics and the unlocalized wave function of wave optics.

At the parallel level, the classical and quantum mechanics, quantum mechanics, quantum mechanics, and quantum mechanics, are evidenced by pertinent comments and / or rigorous mathematics. So, the Lie algebra and group methods. In a like manner, the Wolder function is an integral part of a theoretical framework.

The basic analogy with the optics picture in the field of wigner phase space.

· Amalgamation of a great deal of shares with the past 30 years
· Introduces abstract concepts through concrete systems
· Hosts of figures and logical diagrams is the favor of intuition and to introduce mathematics
· Emphasis on the interrelations with quantum optics, signal theory and magnetic optics
· Educational and theoretical physics

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