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A model for the lowest-order optical nonlinearity in InSb is presented. A method for ensuring the cancellation of sizeable contributions throughout the Brillouin zone is incorporated in the model. A calculation, based on the band structure of InSb at $k=0$, successfully accounts for the dispersion of the optical nonlinearity near the band gap, measured by a second-harmonic-generation (SHG) experiment in InSb. General results are also presented on the interpretation of SHG measurements in absorbing media, with special attention devoted to interference experiments. From a comparison of the experimental dispersion with the theory, values are obtained for momentum matrix elements near $k=0$.
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Jha et al. (1972) studied this question.
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