Magneto-Thermoelastic Semiconductor Medium with Diffusion under the Hyperbolic Two-Temperature Photothermal Waves

Abstract

The purpose of this research is to examine the effects of magnetic field and thermal diffusion on a photo-thermoelastic semiconducting medium under the theory of hyperbolic two-temperature. During the formulation of the problem using the hyperbolic two-temperature theory, the relation between plasma and thermoelastic waves was explored. The medium is assumed to be a semiconducting medium with isotropic and homogeneous characteristics. The Laplace transform technique is used to construct analytic formulations for physical quantities such as stresses, displacement components, temperature field, and mass concentration. To show the results, numerical computations are done using the MATHEMATICA program for the selected material (Si). To demonstrate the significance and effectiveness of the obtained results, the full solutions of the major physical variables in the space-time domain are found using a numerical method based on the inverse of the Laplace transform. A comparison is carried out with and without a magnetic field, at different theories (CTE, LS, GL) and with another research that agree with the previous paper when the new parameters neglected.