  This is the second paper of the authors in a series concerned with the
development of a deterministic model for the transfer matrix of a MIMO system.
Starting from the Maxwell equations, we have described in \cite{BCFM} the
generic structure of such a deterministic transfer matrix. In the current paper
we apply the results of \cite{BCFM} in order to study the (Shannon-Foschini)
capacity behavior of a MIMO system as a function of the deterministic spread
function of the environment, and the number of transmitting and receiving
antennas. The antennas are assumed to fill in a given, fixed volume. Under some
generic assumptions, we prove that the capacity grows much more slowly than
linearly with the number of antennas. These results reinforce previous
heuristic results obtained from statistical models of the transfer matrix,
which also predict a sublinear behavior.
