In traditional schemes of multilevel multilaser excitation, each laser puls
e interacts with only one pair of states, and the rotating wave approximati
on (RWA) is applicable. Here pie study the population transfer process in a
three-state system when each of the two lasers interacts with each of the
pair of states and when the Rabi frequencies characterizing tl-le interacti
on strengths of che system are comparable to or larger than the difference
of the transition frequencies. We show that complete and robust population
transfer is possible under conditions more general than those hitherto cons
idered necessary for stimulated Raman adiabatic passage (STIRAP) or for suc
cessive pi pulses. Using adiabatic Floquet theory we show that successful p
opulation transfer can be interpreted as adiabatic passage by means of a tr
ansfer state which collects the initial and final states. The Floquet pictu
re offers a convenient interpretation of the population transfer as accompa
nied by multiple absorption of photons from or emission into the laser fiel
ds.