Information transfer through disordered media by diffuse waves

Details Information transfer through disordered media by diffuse waves Information transfer through disordered media by diffuse waves

2002-10-18

arxiv.org/abs/cond-mat/0210415v1

Phys. Rev. E 67, 036621 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

REVTeX 4, 12 pages, 7 figures

Scientific paper

10.1103/PhysRevE.67.036621

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 $ \propto n$ and obtain explicit analytic expressions for $/n$ 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.

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