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In this work, we present a theoretical study of the statistical properties ofwave scattering in a disordered ballistic waveguide of length L; we have calledthis system the "building block". The building block is interesting as aphysical system because its statistical properties could be studiedexperimentally in the laboratory.  In order to study the building block, as a physical system in itself, we havedeveloped a perturbative method based on Born series. This method is valid onlyin the ballistic regime, when the length of the system L is smaller than themean free path l, and in the short-wave-length approximation, when the the wavenumber k and the mean free path l satisfy kl >> 1. This method has allowed tofind, analytically, the behavior of quantities of interest that we have notbeen able to find from the diffusion equation. In contrast with the diffusionequation method, which takes into account approximately the contribution ofclosed channels, this method takes them explicitly. In earlier works numericalevidence was found that the expectation values of some interesting quantitiesare insensitive to the number of closed channels that were used on thecalculations; with this method, we could show that closed channels are relevantfor the expectation values of amplitudes but irrelevant for the intensities andconductance expectation values. The results of this method show a goodagreement with numerical simulations.

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