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Viser: Natural Focusing and Fine Structure of Light - Caustics and Wave Dislocations
Natural Focusing and Fine Structure of Light
Caustics and Wave Dislocations
J. F. Nye
(1999)
Sprog: Engelsk
Detaljer om varen
- Hardback: 328 sider
- Udgiver: Taylor & Francis Group (Januar 1999)
- ISBN: 9780750306102
Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations provides a definitive account of how classical optics has been reconstructed in a modern way by emphasizing the hierarchy of singularities that exists in light fields. The book discusses the singularities of geometrical optics and their systematization by catastrophe theory. It explores the diffraction patterns associated with caustics that are dominated by wave dislocations, line singularities of the phase, and analogous to crystal dislocations. The book is a perfect blend of mathematics and physics, combining theory, computer simulation, and beautiful experimental photographs of the phenomena studied.
Part 1 Caustics: Natural focusing. Folds and cusps in three dimensions. Caustics of codimension three.
Part 2 The wavelength scale: Dislocations in scalar wavefields. Diffraction.
Part 3 Higher catastrophes, networks and statistics: Higher caustics as organizing centres. The high catastrophe X^O9. Network patters of catastrophes. Statistics of caustics and twinkling. Generalisation to propagation in a general medium.
Part 4 Polarization singularities: Singularities in paraxial electromagnetic waves. Singularities in waves travelling in many directions. Retrospect. References. Index.