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We present a realistic theoretical treatment of a three-level $\Lambda$system in a hot atomic vapor interacting with a coupling and a probe field ofarbitrary strengths, leading to electromagnetically-induced transparency andslow light under the two-photon resonance condition. We take into account allthe relevant decoherence processes including col5Blisions. Velocity-changingcollisions (VCCs) are modeled in the strong collision limit effectively, whichhelps in achieving optical pumping by the coupling beam across the entireDoppler profile. The steady-state expressions for the atomic density-matrixelements are numerically evaluated to yield the experimentally measuredresponse characteristics. The predictions, taking into account a dynamic rateof influx of atoms in the two lower levels of the $\Lambda$, are in excellentagreement with the reported experimental results for $^4$He*. The role playedby the VCC parameter is seen to be distinct from that by the transit time orRaman coherence decay rate.

Realistic theory of electromagnetically-induced transparency and slow light in a hot vapor of atoms undergoing collisions