Cascading of quadratic nonlinearities: An analytical study by Andrey Kobyakov, Falk Lederer.

*A comprehensive analytical approach to scalar and vectorial interaction in cascaded quadratic nonlinearities is presented. Exact formulas for the intensity as well phase modulation dependence on all conceivable control parameters are derived, provided that group-velocity dispersion, diffraction, pulse walk off can be neglected. The first two constraints uncritical far channel waveguides thin bulk crystals concerned. Particular emphasis paid a detailed study of evolution order identify optimum conditions an almost homogeneous shift across entire which contrast generation large chirp cubic nonlinear materials. Moreover, general results simplified relevant limiting cases where simple emerge amplitude modulation. used classification all-optical effects based cascading. Optimum picosecond processes discussed. \textcopyright{} 1996 American Physical Society. *

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