A new phenomenological model of self-organized second-harmonic generation is proposed describing the photoinduced χ^{(2)} grating formation as a cumulative third-order nonlinearity via a complex χ^{(2)} encoding function being dependent upon the light intensities of fundamental and second-harmonic writing radiations. The theoretical results attained are confronted with recent experimental measurements by Lambelet and Feinberg and the χ^{(2)} encoding function is constructed for this special case.
The theoretically predicted self-organized parametric down conversion (the amplification of fundamental radiation on account of the energy of second-harmonic radiation) in doped optical fibers was experimentally demonstrated for the first time and a weak permanent second-order susceptibility grating in the conditioned fiber was identified.
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