  The identification of the intermediate-mass Higgs process $\gamma\gamma\to H
\to b \bar b$ will be one of the most important goals of a future photon linear
collider. Potentially important backgrounds from the continuum $\gamma\gamma
\to c \bar c, b \bar b$ leading-order processes can be suppressed by a factor
$m_q^2/s$ by using polarized photon beams in the $J_z=0$ initial-state
configuration. We show that the same $m_q^2/s$ suppressions do not necessarily
apply to the radiative processes $\gamma\gamma \to c \bar c g, b \bar b g$.
These processes can mimic the two-jet topology of the Higgs signal when two of
the three partons are collinear, or when one of the partons is soft or directed
down the beam pipe. We calculate the contribution of these processes to the
two-jet background in the $J_z=0$ channel. We investigate the effect of
imposing additional event shape, jet width and secondary vertex cuts on both
signal and background, and show that with reasonable detector capabilities it
should be possible to reduce the background to a manageable level.
