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We theoretically study the parametric wave interaction in nonlinear optical media with randomized distribution of the quadratic nonlinearity $$\chi ^{(2)}$$ . In particular, we discuss the properties of second and cascaded third harmonic generation. We derive analytical formulas describing emission properties of such harmonics in the presence of $$\chi ^{(2)}$$ disorder and show that the...
We study parametric frequency conversion in two-dimensional nonlinear photonic crystal with short-range ordered ferroelectric domains. We demonstrate that the short-range order enables broadband third-harmonic generation via cascading of two second-order quasi-phase matched nonlinear processes. We obtain conversion efficiencies that are much higher than those achieved from a randomized medium, owing...
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