Information transfer through disordered media by diffuse waves

Abstract

We consider the information content h of a scalar multiple-scattered, diffuse wave field $\psi (\vec{r})$ and the information capacity C of a communication channel that employs diffuse waves to transfer the information through a disordered medium. Both h and C are shown to be directly related to the mesoscopic correlations between the values of $\psi (\vec{r})$ at different positions $\vec{r}$ in space, arising due to the coherent nature of the wave. For the particular case of a communication channel between two identical linear arrays of $n\gg 1$ equally-spaced transmitters/receivers (receiver spacing a), we show that the average capacity $<C>\propto n$ and obtain explicit analytic expressions for $<C>/n$ in the limit of $n\to \infty$ and $k\ell \to \infty$, where $k=2\pi /\lambda$, $\lambda$ is the wavelength, and $\ell$ is the mean free path. Modification of the above results in the case of finite but large n and $k\ell$ is discussed as well.

REVTeX 4, 12 pages, 7 figures

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