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Z-scan model for Laguerre–Gaussian excitation in mode-mismatched thermal lens spectrometry

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Abstract

In this work, we have introduced a Z-scan thermal lens (TL) model based on Laguerre–Gaussian (LG) ${\rm{LG}}_1^0$ laser induced excitation in a mode-mismatched dual-beam configuration. The analytical expression of the TL signal and its dependence on sample to detector distance as well as the Z-scan have been derived. The theoretical analysis shows that the phase shift and TL signal are higher than the values obtained using an excitation with the ${{\rm{TEM}}_{00}}$ Gaussian profile. The experimental demonstration of the theoretical approach has been performed using the ${\rm{LG}}_1^0$ and ${{\rm{TEM}}_{00}}$ Gaussian beams, respectively. Experimental proofs of the model are presented and found to be in agreement, demonstrating that Laguerre–Gaussian induced excitation is more sensitive than the Gaussian one.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Equations (28)

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