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20 April 2024
 
  » arxiv » cond-mat/0210415

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Information transfer through disordered media by diffuse waves
S.E. Skipetrov ;
Date 18 Oct 2002
Journal Phys. Rev. E 67, 036621 (2003)
Subject Disordered Systems and Neural Networks; Mesoscopic Systems and Quantum Hall Effect; Optics | cond-mat.dis-nn cond-mat.mes-hall physics.optics
AbstractWe 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 $n o infty$ and $k ell o infty$, where $k= 2pi/ lambda$, $lambda$ 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.
Source arXiv, cond-mat/0210415
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