Engineered quasi-phase-matching for second-harmonic generation

An approach for analytically calculating the second-harmonic output field from an arbitrary quasi-phase-matched non-linear crystal is presented. By applying this method within a simulated annealing minimization routine we demonstrate a way of designing quasi-phase-matched gratings whose conversion response can be tailored to closely match any chosen profile. The influence on the final conversion response of important parameters such as the number of crystal domains and the algorithm temperature is presented in detail.

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