Statistics of Electromagnetic Fields within Wire - Coupled, Nested Reverberant Enclosures

A study has been performed to characterize the statistics within an inner reverberant enclosure when it is electromagnetically illuminated within a larger reverberant enclosure (i.e., nested enclosure). The coupling mechanism used to exchange energy between the two cavities were a series of N = 1, 2, … , 30 wire penetrations. The wires act as the dominate leakage mechanism between the two coupled enclosures and represent each test case. Two well studied distributions were used to fit the measured power – the power form of the double-Rayleigh (termed the double-exponential) distribution and the exponential distribution. The Anderson-Darling and Pearson’s chi-squared goodness-of-fit tests were used at the 95% confidence level to evaluate the distributions. The chi-squared goodness-of-fit rejected the null hypothesis at a 5.52% rejection rate when testing against the double-exponential distribution for the N = 1 test case, indicating a good fit. The exponential distribution showed evidence of a good fit only for N ≥ 20 test cases, indicating the two enclosures were statistically acting as a single enclosure. A new hypothesized distribution termed the modified double-exponential distribution was shown to provide a good fit for all N test cases. This distribution indicates that it is a good fit under the conditions of this experiment, and further study into coupled enclosure statistical behavior is ongoing.