We study here dissipative properties of systems composed of two componentsView original: http://arxiv.org/abs/1201.4122
one of which is highly lossy and the other is lossless. A principal result of
our studies is that all the eigenmodes of such a system split into two distinct
classes characterized as high-loss and low-loss. Interestingly, this splitting
is more pronounced the higher the loss of the lossy component. In addition to
that, the real frequencies of the high-loss eigenmodes can become very small
and even can vanish entirely, which is the case of overdamping.