Photo-thermoelastic behavior of a functionally graded? Semiconductor medium excited by thermal laser pulses

This work presents an analytical approach to study the photothermal response of a functionally graded semiconducting thermoelastic half-space. The generalized thermoelastic heat conduction theory without energy dissipation is employed to extract the governing equations in which the properties of a half-space material are supposed to change in the longitudinal direction. In the context of photothermal transitional model, the interaction between heat-elastic plasma waves is described. The governing equations for the physical field variables are determined by Laplace transform procedure in the physical domain. The distribution of each field variable as well as the spread of thermo-elastic-plasma waves are plotted and discussed. Some illustrative examples are presented to determine the influence of characteristic parameters such as thermal relaxation and the power law (nonhomogeneity) index on the thermoelastic behavior of the considered medium. Finally, some interesting situations are derived from the current formulation.