Abstract
The adiabatic elimination of the polarization dynamics often invoked in treatments of pulse propagational and pulse interactions in semiconductor optical waveguides is critically investigated. By employing a systematic expansion of the polarization equation and staying within a third-order [(chi) <SUP>(3</SUP>)] regime we are able to derive explicit corrections to the response function due to non-adiabatic effects. Several such effects are identified and analyzed. This provides a unified view of different results reported previously in the literature, but also identifies a new effect which apparently hasn't been analyzed so far. The effect relates to virtual excitation of the total carrier density, as opposed to the well-known adiabatic following effect of individual two-level systems, and we derive simple analytical expressions that relate this effect to the gain and index dispersion. We find it to give a sizable contribution to the well-known instantaneous effects of two-photon absorption and Kerr nonlinearity.
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