  A solid transparent medium with randomly positioned, immobile impurity atoms
is a promising candidate for observation of Anderson localization of light in
three dimensions. It can have low losses and allows for mitigation of the
detrimental effect of longitudinal optical fields by an external magnetic
field, but it has its own issues: thermal oscillations of atoms around their
equilibrium positions and inhomogeneous broadening of atomic spectral lines due
to random local electric fields. We show that these complications should not
impede observation of Anderson localization of light in such materials. The
thermal oscillations hardly affect light propagation whereas the inhomogeneous
broadening can be compensated for by increasing the number density of impurity
atoms.
