On distributions of fields and power in undermoded mode-stirred reverberation chambers

We derive sampling probability density functions (pdfs) of a nonlocal spatio-temporal random electromagnetic field and its intensity in an undermoded mode-stirred cavity, i.e., a statistically inhomogeneous time-varying environment generated by a stochastic process. The inhomogeneous field is represented as a subset (sample) of a homogeneous field (ensemble). The sample statistics of the inhomogeneous field are governed by the number of spatial degrees of freedom, in addition to the number of temporal (stir) degrees of freedom. The results are also of interest in nonergodic mesoscopic dynamical systems, as well as quantum/wave chaos in mixed regular and chaotic billiards beyond the semiclassical approximation.