Space-frequency correlation of classical waves in disordered media: high-frequency and small scale asymptotics
Optics
2009-11-13 v1 General Physics
Abstract
Two-frequency radiative transfer (2f-RT) theory is developed for geometrical optics in random media. The space-frequency correlation is described by the two-frequency Wigner distribution (2f-WD) which satisfies a closed form equation, the two-frequency Wigner-Moyal equation. In the RT regime it is proved rigorously that 2f-WD satisfies a Fokker-Planck-like equation with complex-valued coefficients. By dimensional analysis 2f-RT equation yields the scaling behavior of three physical parameters: the spatial spread, the coherence length and the coherence bandwidth. The sub-transport-mean-free-path behavior is obtained in a closed form by analytically solving a paraxial 2f-RT equation.
Cite
@article{arxiv.0706.3689,
title = {Space-frequency correlation of classical waves in disordered media: high-frequency and small scale asymptotics},
author = {Albert C. Fannjiang},
journal= {arXiv preprint arXiv:0706.3689},
year = {2009}
}