Photothermal dynamic waves in semiconductors: a dual-phase-lag model with two temperature, hydrostatic stress, and electrical conductivity effects

Abstract

The dual-phase-lag (DPL) model and Lord–Shulman (LS) theories, incorporating a single relaxation time, are utilized to analyze the impact of hydrostatic initial stress on a medium. A novel model will be introduced, utilizing two-temperature factors, to improve the photothermal theory. This study analyzes the effects of changing thermal and electrical conductivity. We examined the phenomenon of thermal loading on the exposed surface of an indefinitely extending semiconducting material in one dimension. This medium was also affected by plasma waves and the mechanical force generated during a photothermal process. The exact values of the variables in question are obtained using the Laplace transform (LT) approach. Furthermore, the two values of temperature coefficients were obtained by analytical methods. The field quantities are exhibited as numerical results in the physical domain and visually represented to illustrate the influence of distinct characteristics, such as electrical conductivity. The findings are compared with and without two-temperature components, as well as for two distinct values of the hydrostatic starting stress. A comparison is made between the computed variables obtained from generalized thermoelasticity using the DPL model and the LS theory. This comparison is performed in the absence and presence of the electrical conductivity parameter.