Abstract
We consider the information content h of a scalar multiple-scattered, diffuse wave field 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 at different positions 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 equally spaced transmitters or receivers (receiver spacing we show that the average capacity and obtain explicit analytic expressions for in the limit of and where is the wavelength, and is the mean free path. Modification of the above results in the case of finite but large n and is discussed as well. If the signal to noise ratio exceeds some critical value is a nonmonotonic function of a, exhibiting maxima at For smaller correspond to local minima, while the absolute maximum of is reached at some We define the maximum average information capacity as maximized over the receiver spacing a and the optimal normalized receiver spacing as the spacing maximizing Both and scale as for while and for
- Received 18 October 2002
DOI:https://doi.org/10.1103/PhysRevE.67.036621
©2003 American Physical Society