Space-frequency correlation of classical waves in disordered media: high-frequency and small scale asymptotics

Details Space-frequency correlation of classical waves in disordered media: high-frequency and small scale asymptotics Space-frequency correlation of classical waves in disordered media: high-frequency and small scale asymptotics

2007-06-25

arxiv.org/abs/0706.3689v1

Physics

Optics

Scientific paper

10.1209/0295-5075/80/14005

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.

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