We present numerical simulations by means of the generalized nonlinear envelope equation of harmonic and supercontinuum generation induced by femtosecond pump pulses in optical media with both quadratic and third-order nonlinearities. Application examples to higher harmonic generation in periodically poled lithium niobate and optical parametric generation of a mid-infrared continuum in gallium arsenide are discussed.
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Wabnitz et al. (2010) studied this question.
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