It is shown that the minimum threshold in the double-conjugation scheme for a medium with a local transient response takes place for the generated waves with angular tilting.
An analysis is made of double phase conjugation in media with a local response. A threshold is found for the generation of a phase-conjugated wave by the double process in a medium with a local response and with additional amplification. An analysis is made of the further possibilities of generation of phase-conjugated radiation in the case of a four-wave interaction characterized by a feedback loop established when double phase conjugation takes place in a nonlinear medium. The threshold intensity of the input radiation ensures possible generation of a phase-conjugated wave as a result of a four-wave interaction characterized by a feedback loop and merging of counterpropagating beams in a nonlinear medium.
An approximation of a constant intensity of two counterpropagating noncollinear waves in a ring system is used to consider phase conjugation as a result of a four-beam interaction in a medium with a transient nonlinear response. An analytic solution is obtained of a system of equations for weak waves consisting of an arbitrary set of quasiplane components. It is shown that when the absolute instability threshold is exceeded by a nonlinear phase shift, the maximum increment is exhibited by those components which are inclined at a certain angle to the phase-conjugate wave. The conditions for reliable phase conjugation by introduction of a phase screen into the ring are identified.