Conventional thermal lens spectrometry theory assumes that the sample is an infinite medium, and only the radial temperature rise and heat flow in the sample are considered. This approach is not suitable for thin-film samples. Considering the axial boundary conditions of the sample, a three-dimensional model for cw laser-induced mode-mismatched thermal lens spectrometry is presented. However, its mathematical expression is not so convenient as that of the conventional theory to deal with the experimental data. The model shows that, besides axial boundary conditions of the sample, the ratio of excitation laser spot size to the sample thickness ωe/l is a crucial parameter to minimize the axial heat flow. By choosing small ωe/l, it is possible for the conventional theory to describe the development of the thermal lens of a thin sample for a short duration. Experimental proofs for the theoretical prediction are made, and good agreements are achieved.
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Shen et al. (1994) studied this question.
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