Statistical scattering of waves in disordered waveguides: The limiting macroscopic statistics in the ballistic regime

In this work, we present a theoretical study of the statistical properties of wave scattering in a disordered ballistic waveguide of length L; we have called this system the “building block”. The building block is interesting as a physical system because its statistical properties could be studied experimentally in the laboratory.In order to study the building block, as a physical system in itself, we have developed a perturbative method based on Born series. This method is valid only in the ballistic regime, when the length of the system L is smaller than the mean free path l, and in the short‐wave‐length approximation, when the the wave number k and the mean free path l satisfy kl⋙1. This method has allowed to find, analytically, the behavior of quantities of interest that we have not been able to find from the diffusion equation. In contrast with the diffusion equation method, which takes into account approximately the contribution of closed channels, this method takes them explicitly. In earlier works...