Numerical modeling of laser photothermal heating in organic and inorganic structures

Abstract

In this paper, we discuss flaws with static heating models as well as flaws with diffusive transport models such as the Fourier-Biot equation, the Cattaneo-Vernotte thermal wave model, and the hyperbolic heat equation and how the Dual-Phase-Lag (DPL) heat transfer model corrects for these flaws. We present novel numerical solutions and coding methodology in detail for solutions of the DPL heat equations, which take into account nanoscale heating effects such as phonon and electron interactions, for both organic and inorganic media for the laser heating of various structures and boundary conditions. We then use the models presented to validate our results against the experimental and theoretical results of various others for time scales ranging from 100 fs to 100 s and from spatial scales all the way from macroscale down to nanometers in both organic and inorganic media and systems of different kinds to show the validity of not only the DPL equation but also our solution methodology to a wide variety of problems.