Introduction of randomness in deterministic descriptions of Reverberation Chambers

The main purpose of this work is to present some simple yet complete models that are able to describe the statistical behavior of reverberation chambers (RC) as well as the influence of their main factors and their overall functioning. We start by building a simplified two-dimensional model which is able to reproduce the statistical behavior of real RCs without renouncing the advantages of deterministic descriptions. The statistical properties of the fields inside the cavity are introduced either by varying the width or the relative dielectric constant of a perturbing lossless layer inside a 2D cavity. The field statistics derived with this process are shown to correspond to the statistics found in properly functioning RCs in the overmoded regime. With the use of a suitable coordinate transformation, we assume our non-homogeneous rectangular cavity to be a virtual mathematical domain, and find an analogous homogeneous non-rectangular cavity as our physical domain. With this simple process we are able to link our 2D ldquodielectricrdquo stirrer with actual geometrical discontinuities. By means of this procedure, a novel design for RCs appears as feasible.