Salah Doaa M, Abd-Alla A M, Abo-Dahab S M, Alharbi F M, Abdelhafez M A
Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt.
Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt.
Sci Rep. 2024 Jul 16;14(1):16456. doi: 10.1038/s41598-024-64485-8.
This manuscript addresses a significant research gap in the study by employing a mathematical model of photo thermoelastic wave propagation in a rotator semiconductor medium under the effect of a magnetic field and initial stress, as well as ramp-type heating. The considered model is formulated during the photothermal theory and in two-dimensional (2D) electronic-elastic deformation. The governing equations represent the interaction between the primary physical parameters throughout the process of photothermal transfer. Computational simulations are performed to determine the temperature, carrier density, displacement components, normal stress, and shear stress using the application of Lame's potential and normal mode analysis. Numerical calculations are carried out and graphically displayed for an isotropic semiconductor like silicon (Si) material. Furthermore, comparisons are made with the previous results obtained by the others, as well as in the presence and absence of magnetic field, rotation, and initial stress. The obtained results illustrate that the rotation, initial stress, magnetic field, and ramp-type heating parameter all have significant effects. This investigation provides valuable insights into the synergistic dynamics among a magnetization constituent, semiconducture structures, and wave propagation, enabling advancements in nuclear reactors' construction, operation, electrical circuits, and solar cells.
本手稿通过采用在磁场、初始应力以及斜坡式加热作用下旋转半导体介质中光热弹性波传播的数学模型，解决了该研究中一个重大的研究空白。所考虑的模型是在光热理论和二维（2D）电子 - 弹性变形过程中建立的。控制方程表示了光热传递过程中主要物理参数之间的相互作用。利用拉梅势和简正模式分析进行计算模拟，以确定温度、载流子密度、位移分量、正应力和剪应力。对硅（Si）等各向同性半导体材料进行了数值计算并以图形方式显示。此外，还与其他人先前获得的结果进行了比较，以及在有和没有磁场、旋转和初始应力的情况下进行了比较。所得结果表明，旋转、初始应力、磁场和斜坡式加热参数都有显著影响。这项研究为磁化成分、半导体结构和波传播之间的协同动力学提供了有价值的见解，有助于核反应堆建设、运行、电路和太阳能电池的发展。
