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Based on cascading of second-order nonlinearities we propose novel schemes for all-optical signal processing exploiting the tensorial nature of the susceptibility. Waves of the same frequency and orthogonal polarizations can interact via the generated second-harmonic, with an indirect energy transfer and the consequent possibility of gain and transistor action, polarization switching, amplitude and phase modulation.
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Gaetano Assanto, Irina Torelli, Stefano Trillo, George I. Stegeman, "All-optical coherent processing via cascading of second-order nonlinearities," Proc. SPIE 2321, Second International Conference on Optoelectronic Science and Engineering '94, (5 August 1994); https://doi.org/10.1117/12.182011