In the following sections we will first develop the analytical model, then verify that our model does not give significantly different results from a model that uses finite thermal conductivities for the cover layer and the substrate, by comparing the results from the analytical model with those calculated using a finite element model (FEM). Model results are additionally compared to experimental AFM-IR data of a polymethyl methacrylate (PMMA) absober embedded in a polyethylene (PE) matrix.