Application of hyperbolic heat conduction model in thermal lens spectroscopy

Abstract

Between the techniques directed to studying the thermal properties of materials, we can cite the photothermal methods, including the thermal lens technique in this group. The technique of thermal lens spectroscopy has, in most cases, its temperature profile described by Fourier’s Law of heat conduction. In this work, the temperature distribution was successfully represented through the hyperbolic heat conduction model. However, with the application of the hyperbolic model, the differential equation that describes the problem has no analytical solution; therefore, we used two techniques for their solution. The method of lines (purely numerical method) and the generalized integral transform technique (analytical-numerical method). Both approaches have excellent rates of convergence in their solutions. They also present the new agreement proposed solution with experimental data, thus, providing a new perspective for future work in this spectroscopic technique.