Optical pattern formation in an experiment with single mirror feedback
is described. The nonlinear medium is sodium vapor in a buffer gas at
mosphere. A microscopic model is given and a stability analysis and nu
merical simulations are performed. Good agreement between the results
of the experiment and the simulation is obtained. By numerical treatme
nt of the model for the case of a plane incident wave (large aspect ra
tio), the results obtained with a narrow Gaussian beam (small aspect r
atio) are traced back to the transition from hexagon to roll formation
via 'mixed' states.