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We study the effects of dispersion in carrier waves on the properties ofsoliton self--induced transparency (SIT) in two level media. We foundsubstantial impact of dispersion effects on typical SIT soliton features. Forexample, the degree of SIT pulse velocity slowing down (acceleration) isdetermined by the ratio of the incoming pulse frequency over atomic transitionfrequency - $x=\omega/\omega_0$. Specifically, an immediate pulse stopping ispredicted for absorbing media when pulse duration time exceeds some criticalvalue. In the sharp line limit stopping may emerge only for frequency ratioabove unity, while for the inhomogeneously broadened systems it appearsirrespective of the value of $x$. Analysis performed on the basis of Mcall\&Hahn \textit{Area theorem} implies that pulse stopping is achieved when Ber'sabsorption coefficient approaches infinity, that is, pulse energy is fullyabsorbed in the medium. In the case of amplifying media super-luminal motion ispredicted as in the case of resonance. However, there is a lowest value in thefrequency ratio below which the pulse velocity tends to the sub-luminal region.These new features of the SIT phenomenon open novel ways on how it may beexploited for the control of electromagnetic wave radiation in two-level media.This may be achieved by varying frequency ratio.

Effects of spatial dispersion on Self--induced transparency in two--level media