  Synchronization of chaos among a single pair of transverse modes featuring
intermode dynamical non-independence, resulting from cross-saturation of modal
population inversions and coherent modal field coupling, is explored in a
thin-slice solid-state laser with coupled orthogonally polarized transverse
modes operating in quasi-locked states. The chaotic signals that are created in
one of the pairing modes (sender) by self-mixing modulations are shown to be
transferred solely to the partner mode (receiver) among all the other modal
fields with different polarizations. The experimental results are reproduced in
a simulation of a model equation of coupled laser modes subjected to
self-mixing modulations.
