An expression is found for the propagation of the radiance function fo
r light in any state of coherence through a concentrator which can be
represented by a linear, stationary optical system. For light from a q
uasi-homogeneous source this expression can be somewhat simplified by
an approximation. It is shown that the radiance function is invariant
for a large class of optical systems. Finally it is shown that fundame
ntal limitations for the concentration of light follow from the uncert
ainty principle and the second law of thermodynamics, which apply quit
e generally. These relations show why quasi-homogeneous light (i.e. li
ght from thermal sources) cannot be concentrated as well as light from
some other sources (such as light from a laser).