The statistics of scattering of waves inside single ray-chaotic enclosures have been successfully described by the Random Coupling Model (RCM). We expand the RCM to systems consisting of multiple complex ray-chaotic enclosures with variable coupling scenarios. The statistical properties of the model-generated quantities are tested against measured data of electrically large multi-cavity systems of various designs. The statistics of model-generated trans-impedance and induced voltages on a load impedance agree well with the experimental results. The RCM coupled chaotic enclosure model is general and can be applied to other physical systems including coupled quantum dots, disordered nanowires, and short-wavelength electromagnetic propagation through rooms in buildings, aircraft and ships.
@article{arxiv.1909.03827,
title = {Wave scattering properties of multiple weakly-coupled complex systems},
author = {Shukai Ma and Bo Xiao and Zachary Drikas and Bisrat Addissie and Ronald Hong and Thomas M. Antonsen and Edward Ott and Steven M. Anlage},
journal= {arXiv preprint arXiv:1909.03827},
year = {2020}
}