Abstract
A theoretical investigation of phase conjugation via transient degenerate four-wave mixing in saturable-gain media is presented. A set of coupled wave equations that considers the spatial evolution of both, amplitude and phase is formulated and numerically analysed for the on and off-resonance case. It is shown that phase evolution is exclusively produced by a phase grating and that this grating does not affect the four beams in the same manner. A necessary condition for phase conjugation is derived. A group theory analysis is applied to identify SU(2,2) as the underlying symmetry of the transmission grating model.
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