We present a pump-probe mode-mismatched thermal lens method for pulse excitation aimed to the measurement of one- and multi-photon absorption coefficient with high sensitivity. Short pulses of light are used as pump source while the probe field is a collimated CW light of low power. The method is used for the measurement of absorption of distilled water and ethanol. Absorption coefficient as small as 10~(-8) cm~(-1) can be measured with the described technique.
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