An analytical model for top-hat long transient mode-mismatched thermal lens spectroscopy

M. Sabaeian; H. Rezaei

doi:10.2971/jeos.2016.16004

Journal of the European Optical Society - Rapid publications, Vol 11 (2016)

An analytical model for top-hat long transient mode-mismatched thermal lens spectroscopy

M. Sabaeian, H. Rezaei

Abstract

It has been shown that a top-hat excitation beam gives rise to a more sensitive signal for the thermal lens spectroscopy (TLS). Recently, a numerical model has been presented for a top- hat excitation beam in a dual-beam mod-mismatched TLS [Opt. Lett. 33(13), 1464-1466 (2008)]. In this work, we present a full analytical version of this model. Our model was based on a new solution of time-dependent heat equation for a finite radius cylindrical sample exposed to a top-hat excitation laser beam. The Fresnel diffraction integration method was then used to calculate on-axis probe-beam intensity variations due to thermal lensing by taking the aberrant nature of the thermal lens into account. The model was confirmed with experimental data of LSCAS-2 with an excellent agreement.

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