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The transmission of Kodak 9740 dye solutions as a function of picosecond pulse energy has been measured. The experimental results have been compared to theoretical ones. The validity of these results is borne out by the variation of the round-trip transit gain in the train of pulses emitted by a Nd3+glass laser mode locked by a Kodak 9740 dye solution. On the basis of this last result, it appears that the dye is not yet saturated at the beginning of the train of pulses.