Wave Chaotic Properties of Cascaded Complex Enclosures*

Predicting the power transmission of interconnected enclosures like a chain of cabins in a ship, is of keen interest to various communities. Here we utilize Random Coupling Model (RCM) to explain the wave chaotic properties of the cavity cascade system. Experiments utilizing a full scale single cavity, and three cavity cascade systems at NRL. We determine loss parameters and find agreement between the statistical properties of experimental normalized impedance with the RCM predictions. We use the scaling properties of Maxwell’s equations to create a scaled-down cavity which preserves the loss parameter of full scale cavity. Experiments show that the statistics of the single cavity impedance matrix elements for full scale and scaled enclosures match. We next study the transmission of the multi-cavity cascade system with cavities connected by apertures. By describing the coupling between cavities through apertures, we are able to produce predictions for the statistics of the impedance for cascaded cavities. We present results on estimates of the radiation admittance for apertures both experimentally and theoretically, which permits us to complete a quantitative theoretic model for the cavity cascade systems’ statistic properties.