  The influence of final-state $NN$-rescattering on the beam asymmetry $\Sigma$
for linearly polarized photons in $\pi^-$ photoproduction on the deuteron in
the energy range from $\pi$-threshold through the $\Delta$(1232)-resonance has
been investigated. Numerical results for this spin observable are predicted and
compared with recent experimental data from the LEGS Spin collaboration.
Final-state $NN$-rescattering is found to be quite important and leads to a
better agreement with existing experimental data. Furthermore, the differences
with other theoretical models have been discussed.
