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- W4241142905 abstract "Transport in random multiple-scattering systems in which the wave field is delocalized is often described using the diffusion equation. In contrast, we examine the propagation of amplitude-amplitude correlations in such a system from first principles: the summation of random multiple-scattering series. We use generalized transfer matrices to sum the series corresponding to the conventional ladder diagrams of perturbation theory. The method is applied to correlations in both the Fourier space and the frequency domains. Using a specific model, the scalar wave equation, we show how to diagonalize analytically these generalized transfer matrices. Diffusive behaviour arises in the appropriate limits of long length and long time, while over shorter length and time-scales the diffusion equation breaks down and there is a transition to a more wave-like behaviour. Our results have applications to image reconstruction and signalling. In particular there is a ‘quantum’ limit to the amount of detail that can be reconstructed from an image blurred by passage through a random scattering region." @default.
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- W4241142905 date "1995-12-01" @default.
- W4241142905 modified "2023-09-26" @default.
- W4241142905 title "Beyond Diffusion to Diffraction" @default.
- W4241142905 doi "https://doi.org/10.1080/751122845" @default.
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