Impact of laser short-pulse heating and variable thermal conductivity on photo-elasto-thermodiffusion waves of fractional heat excited semiconductor

The influence of laser short-pulse heating is utilized to investigate an elastic-mechanical-thermodiffusion (EMTD) model. The model is studied when the holes/electrons interaction of semiconductor medium is occurred with a fractional derivative of the heat equation. The governing equations describing this model are very complex, so they are studied in one dimension (1D) when the considered physical quantities are in a non-dimensional. In this case, the thermoelastic deformation (TD) due to the electronic deformation (ED) with some initial conditions is considered. Laplace transforms are used to analyze the governing equations mathematically when the thermal conductivity is variable. To obtain the complete solutions, the inverse Laplace transforms are used numerically based on the Fourier series with the application of some boundary conditions. Several comparisons of the wave propagation distribution of the fundamental fields are presented graphically according to different values of the fractional parameter, memories parameters, and thermal conductivity with discussion.