  In a d-wave superconductor with elastic impurity scattering, not all the
available optical spectral weight goes into the condensate at zero temperature,
and this leads to residual absorption. We find that for a range of impurity
parameters in the intermediate coupling regime between Born (weak) and unitary
(strong) limit, significant oscillator strength remains which exhibits a cusp
like behavior of the real part of the optical conductivity with upward
curvature as a function of frequency, as well as a quasilinear temperature
dependence of the superfluid density. The calculations offer an explanation of
recent data on ortho-II YBa$_2$Cu$_3$O$_{6.5}$ which has been considered
anomalous.
