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Full Description
Linear Ray and Wave Optics in Phase Space, Second Edition, is a comprehensive introduction to Wigner optics. The book connects 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. Analogies with other branches of classical and quantum physics-such as classical and quantum mechanics, quantum optics, signal theory and magnetic optics-are evidenced by pertinent comments and/or rigorous mathematics. Lie algebra and group methods are introduced and explained through the elementary optical systems within the ray and wave optics contexts, the former being related to the symplectic group and the latter to the metaplectic group. In a similar 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. This second edition contains 150 pages of new material on Wigner distribution functions, ambiguity functions for partially coherent beams, and phase-space picture and fast optics. All chapters are fully revised and updated. All topics have been developed to a deeper level than in the previous edition and are now supported with Mathematica and Mathcad codes.
Contents
1. Hamiltonian picture of light rays2. 1D first-order optical systems: The ray transfer matrix3. The group of the 1D first-order optical systems4. Wave-optical picture of first-order optical systems5. 1D first order optical systems: The Huygens-Fresnel integral6. The Wigner distribution function: The analytical evaluation7. The Wigner distribution function: Optical production8. 1D first order optical systems: Transfer law for the Wigner distribution function9. 1D first order optical systems: Moments of the Wigner distribution function10. Wigner distribution function and Ambiguity function for partially coherent beams11. Phase-space picture and fast optics
