  We generalize our analytic approach (Berent, M. and Parzy\'nski, R. (2009):
Phys. Rev. A (80) 033834) to include the effect of strong depopulation of the
initial state when considering the multiphoton population transfer and
scattering of low-frequency light by a 3-level system in the lambda-type
configuration. We discuss the quality of the approximations made, i.e., the
adiabatic and generalized rotating-wave approximations.
