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The intensities of hyper-Rayleigh and hyper-Raman scatterings are, already in the electric dipole approximation, shown to be different in right- and left-handed elliptically polarized incident light. The existence of this differential scattering requires the third-rank hyperpolarizability tensor bᵢⱼₖ to be complex and j,k symmetric only.
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M. Kozierowski (1985) studied this question.
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