Propagation of coherent waves in elastically scattering media
Abstract
A general method for calculating statistical properties of speckle patterns of coherent waves propagating in disordered media is developed. It allows one to calculate speckle pattern correlations in space, as well as their sensitivity to external parameters. This method, which is similar to the Boltzmann-Langevin approach for the calculation of classical fluctuations, applies for a wide range of systems: from cases where the ray propagation is diffusive to the regime where the rays experience only small angle scattering. The latter case comprises the regime of directed waves where rays propagate ballistically in space while their directions diffuse. We demonstrate the applicability of the method by calculating the correlation function of the wave intensity and its sensitivity to the wave frequency and the angle of incidence of the incoming wave.
- Publication:
-
Physical Review B
- Pub Date:
- November 2007
- DOI:
- 10.1103/PhysRevB.76.174204
- arXiv:
- arXiv:0708.3059
- Bibcode:
- 2007PhRvB..76q4204A
- Keywords:
-
- 72.15.Rn;
- 73.20.Fz;
- 73.23.-b;
- Localization effects;
- Weak or Anderson localization;
- Electronic transport in mesoscopic systems;
- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- 19 pages, 5 figures