Space-frequency correlation of classical waves in disordered media: high-frequency and small scale asymptotics
arXiv:0706.3689 · doi:10.1209/0295-5075/80/14005
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.
References in corpus (7)
- Multiple scattering of classical waves: from microscopy to mesoscopy and diffusion
- Spatial field correlation, the building block of mesoscopic fluctuations
- A New Type of Intensity Correlation in Random Media
- Anisotropic multiple scattering in diffusive media
- Statistical Scattering of Waves in Disordered Waveguides: from Microscopic Potentials to Limiting Macroscopic Statistics
- Nonuniversal correlations in multiple scattering
- Two-Frequency Radiative Transfer and Asymptotic Solution