Deterministic Approach to Estimate the Upper Bound of the Electric Field in a Reverberation Chamber

In this study, we propose a deterministic approach to estimate the upper bound of the electric field in a reverberation chamber (RC), where the field is well stirred. That approach is based on the plane wave integral representation for fields in an RC, assuming the ergodicity of the first two moments of the amplitude of the angular spectrum, which includes an energy constraint. Also, we consider further hypotheses on a sample function of the angular spectrum, such as a conditional phase and polarization, and the type of probability density function (PDF) of its amplitude. First, we calculate the maximum value of the electric field as a function of its root mean square value and of the inverse of the variation coefficient of the PDF of the considered sample function´s amplitude. Then, we consider both the realistic values and the extreme value of the inverse of the variation coefficient in order to achieve the upper bound of the electric field as an extreme event of a statistical model with finite energy. Finally, we achieve an upper bound of the electric field as a function of its root mean square value only and we point out that it is consistent with respect to the results available in bibliography, both experimental and theoretical.