Introduction of randomness in deterministic, physically-consistent descriptions of reverberation chambers and experimental verification

Reverberation chambers extensive knowledge up to now results from a somehow
partial juxtaposition of four different approaches: the deterministic models,
the statistical models, the empirical techniques and the computer/numerical methods. It is not possible to leave one of these approaches behind, as each one
of them stands as a nonexhaustive, but necessary part of reverberation chamber
description. Therefore, there is an obvious gap in knowledge which makes us
change our methodology depending on what kind of result we seek.
Our work focuses on building fairly simple yet physically appropriate one-,
two- and three-dimensional models for a reverberation chamber which claim to
be able to analytically predict the statistical behavior of such a chamber, without
forsaking to the benefits of deterministic models. Several validation analysis
mainly focused on the deviation of the field statistics from ideal reverberation
operation (i.e. undermoded regime, vicinity to the cavity walls, loading) show
agreement with other theories and measured results on real reverberation chambers.
Some contributions to the field statistics under imperfect reverberation is
also provided in this thesis by the derivation of novel probability density functions.