Abstract
Interaction of optical beams in media with diagonal-bipolar nonlinearity is theoretically investigated. It is shown that the nonlinearity is not Lagrangian and allows processes violating energy flux conservation law. Conditions for energy exchange to take place are found. Probe beam amplification in the field of counterpropagating pumps and wavefront conjugation are investigated to exhibit some remarkable features. Coherent interaction of waves of different frequencies through recording static gratings is shown to lead also to energy exchange processes owing to non-Lagrangian character of nonlinearity.
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