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

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), 1464Lett. 33(13), -1466Lett. 33(13), (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.