The pulse profile influence of excitation light on the two-photon absorption coefficient β is theoretically and numerically studied.Based on Gaussian spatial and temporal laser, we obtain an expansion formula of energy transmission.As compared with a plain beam and a pulse beam that is rectangular in time but Gaussian in space, the relative deviations of β turn out to be about 214% and 47%, respectively.These differences indicate that a smaller β may be obtained than the real one in usual nonlinear transmission.Our result suggests that by taking real pulse profile into account, a more exact β can be derived in energy transmission measurement.
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