Long-range correlations in the speckle patterns of directed waves

Oded Agam*, A. V. Andreev, B. Spivak

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We develop a general method for calculating statistical properties of the speckle pattern of coherent waves propagating in disordered media. In some aspects this method is similar to the Boltzmann-Langevin approach for the calculation of classical fluctuations. We apply the method to the case where the incident wave experiences many small angle scattering events during propagation, but the total angle change remains small. In many aspects our results for this case are different from results previously known in the literature. The correlation function of the wave intensity at two points separated by a distance r, has a long-range character. It decays as a power of r and changes sign. We also consider sensitivities of the speckles to changes of external parameters, such as the wave frequency and the incidence angle.

Original languageAmerican English
Article number223901
JournalPhysical Review Letters
Issue number22
StatePublished - 2006


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