We discuss the propagation of laser radiation through a medium of quantum prepared Λ-type atoms in order to enhance the insight into the physics of QSPT generator suggested in Phys. Rev.A 80, 035801 (2009). We obtain analytical results which give a qualitatively corerct description of the outcoming series of ultrashort optical pulses and show that for the case of alkali vapor medium QS-PT generation may be implemented under ordinary experimental conditions.