Photo-thermoelastic wave propagation in a reinforced semiconductor due to memory responses in the presence of magnetic field

The current analysis reports on studying the propagation of coupled plasma, thermal and elastic waves in a two-dimensional fiber-reinforced semiconductor in context of photothermal transport process under the influence of an induced magnetic field. The problem is solved with a new model involving the memory-dependent derivative in the heat transport equation in the context of three-phase lag model of generalized thermoelasticity for an unbounded elastic semiconductor. Employing the Laplace transform and the Fourier transform as tools, the analytical results for the distributions of the thermophysical quantities have been derived. The numerical inversion of the Fourier transforms have been performed using Mathematica software, whereas the numerical inversions of the Laplace transform is carried out using a suitable scheme based on the Riemann-sum approximation technique. Numerical computations for the field quantities in a fiber-reinforced semiconductor is performed and have been demonstrated graphically. Significant effects are observed on the thermophysical quantities due to the presence of reinforcement, influence of magnetic field, memory effect and time-delay parameter also.