Nonlinear polarization transfer and control of two laser beams overlapping in a uniform nonlinear medium

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