Abstract
The amplitude and dispersion of the cubic susceptibility-tensor components χ ijkl (3) (−Ω; Ω, ω, −ω) and of their combinations responsible for the Kerr and Faraday optical effects, as well as for the self-rotation of the polarization ellipse, are calculated within a simple model of a material with semiconducting spherical quantum dots without the inclusion of the excitonic effects and of processes of higher orders in field. It is shown that the susceptibilities increase smoothly in amplitude below the two-photon absorption threshold while remaining negative. Above the threshold, the susceptibilities exhibit sharp maxima associated with two-photon resonances. The regions with positive and negative real parts of the χ(3) tensor components alternate. The magnitude of the induced linear or circular birefringence obtained suggest the possibility of using the nonlinear optical polarization effects in these materials to control light with short, high-intensity light pulses.
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