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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.

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