An Investigation of Coupled Wave Chaotic Enclosures

Random Matrix Theory (RMT) and the Random Coupling model (RCM) have been constructed and verified to explain the statistical properties of electromagnetic radiation inside a single wave chaotic enclosure. Recently, there has been work done [1] to extend RMT and RCM so that they can also explain the statistical properties of electromagnetic radiation inside networks of coupled wave chaotic enclosures. This work was done by only taking data in the frequency domain. We now are building on this work by instead taking the data in the time domain. We plan to first verify the time domain version of this experiment works by comparing the results to the previous work that was done in the frequency domain. We then will conduct the following measurements. First, we plan to perform statistical analysis on time domain data taken for various enclosure networks. We then plan to investigate the effects of coherent illumination, time-dependent illumination, and Doppler shifted pulses on the enclosure networks. Lastly, we hope to combine these results to see if time domain measurements can be used to extract information about the enclosure network.

[1] Shukai Ma, Bo Xiao, Zachary Drikas, Bisrat Addissie, Ronald Hong, Thomas M. Antonsen, Edward Ott, Steven M. Anlage, “Wave scattering properties of multiple weakly-coupled complex systems,” Phys. Rev. E 101, 022201 (2020).