  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.
