Statistical studies of the propagation of a signal through a disordered system

We have considered the propagation of a signal through a certain layered nanostructure by modeling it as a collection of random one- dimensional interfaces, through which a coherent wave can be transmitted or reflected while being scattered at each interface. We have previously used a simple model where a persistent random walk ( the ``t-r'' model in 1- D) is used as a representation of the propagation of the signal in such a medium $^{(1)}$ We will present here some extensions of those results to analyze the total transmission through a chain when a random distribution of the transmittance of the scatterers is included. Some of the statistical properties of the system will be discussed, and some results of possible extensions to more than one dimension in the context of this model will be presented. (1)\textit{ Nanotechnology}, v13, 274 , (2002).