We have developed a theory which for the first time predicts the efficiency of type-I second-harmonic generation (SHG) with simultaneous spatial and temporal walk-offs and with pump depletion. In order to validate our theory, we have compared its predictions with a numerical solver. We also have measured the conversion efficiency for type-I SHG in experiments with ∼120--fs laser pulses in BBO and LBO crystals long enough that both temporal and spatial walk-off are important. Comparison supports our theoretical analysis. Our theory provides a useful tool for estimating SHG efficiency with pulsed sources in both nondepletion and depletion regions.
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Wang et al. (2003) studied this question.
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