  We consider meta materials made from a two-dimensional dielectric rod-type
photonic crystal. The magnetic response is studied within the recently
developed homogenization theory and we in particular study the effects of
topology and inhomogeneous broadening. While topology itself mainly affects the
Mie resonance frequency we find that the dispersion in the topological radius R
of the dielectric rods may lead to significant inhomogeneous broadening and
suppression of the negative-mu phenomena for dR/R0 >> epsilon''/epsilon', with
epsilon=epsilon'+i*epsilon'' being the relative dielectric function of the
rods.
