  We consider a Weyl semimetal (WSM) with finite doping and tilt within a
continuum model Hamiltonian with both broken time reversal and inversion
symmetry. We calculate the absorptive part of the anomalous AC Hall
conductivity as a function of photon energy ($\Omega$) for both type I and type
II Weyl semimetal. For a given Weyl node, changing the sign of its chirality or
of its tilt changes the sign of its contribution to the absorptive Hall
conductivity with no change in magnitude. For a noncentrosymmetric system we
find that there are ranges of photon energies for which only the positive or
only the negative chirality node contributes to the imaginary (absorptive) part
of the Hall conductivity. There are also other photon energies where both
chirality contribute and there can be other ranges of $\Omega$ where there is
no absorption associated with the AC Hall conductivity in type I and regions
where it is instead constant for type II. We comment on implications for the
absorption of circular polarized light.
