A theoretical novel model in the context of the photo-thermoelasticity theory is examined. The novel mode is studied under the impact of the external magnetic field with strong intensity. The semiconductor medium is excited by a beam of light and the governing equations are taken during a one-dimensional (1D) deformation. The main parameters (thermo-elastic, electrical conductivity and optical constants) of the medium depending on the depth of the medium which is defined as functionally graded (FG). The hyperbolic two-temperature theory is taken into account to describe the acceleration of two distinct temperature. During the excitation transport processes and magnetic field, the main parameters can be chosen as a function of the axial distance and Hall current appears, respectively. The main equations are solved analytically using the Laplace transform technique. The complete solutions have been obtained in space–time domain when the convers of Laplace transform is used numerically under some mechanical, thermal and plasma conditions. The evaluation results are compared with the corresponding computational results obtained under the impacts of some parameters