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- W2095804582 abstract "Calculation of linear and nonlinear optical susceptibilities is considered in the band theory formulation. A simple two band model is found to be useful in the discussion of χ(1) and χ(3), the first and third order susceptibilities respectively and unsuitable for a description of the second order susceptibility χ(2). The restrictions placed on the two band and three band models by the general results of band theory are discussed and the role of space inversion symmetry is assessed. It is shown that Kane's model for the band structure of small gap III–V compounds provides a suitable basis for a discussion of χ(2). Proper inclusion of the spin orbit coupling is found to be crucial for this purpose, and a direct relationship between the k-linear terms in the valence bands and χ(2) is established in this model. The agreement of rough estimates of the magnitudes of the k-linear terms based on the observed values of χ(2) with Dresselhaus' estimate of these terms seems to support our basic assumptions. It is apparent from our results that a refined calculation of the imaginary part of χ(2) and its comparison with the suggested experiments will yield quantitative determination of parameters depending directly on the inversion asymmetric part of the crystal potential." @default.
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- W2095804582 date "1969-11-01" @default.
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- W2095804582 title "Model band structures in nonlinear optics" @default.
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