Adiabatic propagation of short pulses under conditions of electromagnetically induced transparency

The spatial and temporal dynamics of two short pulses propagating in an optically dense medium of resonant three-level Lambda-atoms is investigated numerically and analytically. The maximum coherence for the Raman transition due to coherent population trapping. it is shown that, at the initial stage of propagation, the waveforms of such pulses only slightly change along the length of the medium, which may considerably exceed the length of linear absorption for a single weak pulse. As the length of the absorbing medium increases, the energy of the probe (first) pulse is completely transferred into the second (control) pulse.