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In this work we derive an analytical expression for the efficiency of stimulated Raman conversion applicable to Gaussian pump and Stokes beams in a multiple-pass cell. Pump depletion and mirror reflectivity are taken into account. The result provides a simple expression for calculating the conversion efficiency versus the number of passes through a Raman cell. It is especially useful in the design of multiple-pass cells for infrared Raman conversion in which the gain is low and many passes are required.