Anomalous Thermal Diffusion in Two-Layer System : The Temperature Profile and Photoacoustic Signal for Rear Light Incidence

We analyze the influence of the generalizations of hyperbolic (Cattaneo) heat equations (GCE) on temperature profile and photoacoustic signal for the two-layer samples. GCE extensions employ fractional-order derivatives related to the anomalous thermal diffusion in solid. We compare the superdiffusive (GCEII) and subdiffusive (GCEIII) generalizations with the classical and hyperbolic results. To show the fractional-order influence on results, we analyze opaque layers of aluminum with dye by considering only the last one as anomalous. The promising results show that minor variations in fractional order and relaxation time can influence profile temperature and photoacoustic signal