‘1001’ correlations in random wave fields
- 1 January 1998
- journal article
- research article
- Published by Informa UK Limited in Waves in Random Media
- Vol. 8 (1), 119-158
- https://doi.org/10.1080/13616679809409834
Abstract
Correlations in Gaussian speckle patterns are discussed for the intensity and the phase, as well as for the real and imaginary parts of the wavefunction. Application of the sampling theorem to the wave field is described, and five topologically mandated deterministic rules are enumerated that constrain many aspects of the field structure. A brief overview is given of wave-field correlation matrices containing several million coefficients.Keywords
This publication has 21 references indexed in Scilit:
- Critical-point level-crossing geometry in random wave fieldsJournal of the Optical Society of America A, 1997
- Vortex-lattice wave fieldsOptics Communications, 1997
- Surface-plasmon mode on a random rough metal surface: Enhanced backscattering and localizationPhysical Review B, 1996
- Speckle spots ride phase saddles sidesaddleOptics Communications, 1995
- Optical vortices in Gaussian random wave fields: statistical probability densitiesJournal of the Optical Society of America A, 1994
- Vortices in random wave fields: Nearest neighbor anticorrelationsPhysical Review Letters, 1994
- Phase saddles and dislocations in two-dimensional waves such as the tidesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1988
- The topological theory of defects in ordered mediaReviews of Modern Physics, 1979
- Disruption of wavefronts: statistics of dislocations in incoherent Gaussian random wavesJournal of Physics A: General Physics, 1978
- The resultant of a large number of events of random phaseMathematical Proceedings of the Cambridge Philosophical Society, 1946