  A scheme for polarization control using two laser beams in a non-linear
optical medium is studied using both co- and counter-propagating beam
geometries. In particular, we show that under certain conditions it is possible
for two laser beams to exchange their polarization states. A model accounting
for a more realistic, 2D propagation geometry is presented. The 2D model
produces drastically different results (compared to the 1D propagation
geometry), creating difficulties for implementing polarization control in a
realistic setting. A proposal for overcoming these difficulties by reducing the
non-linear optical medium to a thin slab is presented.
