Alshehri Hashim M, Lotfy Khaled
Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah, 21521, Saudi Arabia.
Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box44519, Zagazig, Egypt.
Heliyon. 2024 Sep 24;10(19):e38388. doi: 10.1016/j.heliyon.2024.e38388. eCollection 2024 Oct 15.
The goal of this work is to provide a novel mathematical model that explains how certain physical variables propagate (acoustic-thermal-mechanical diffusive) as waves in a photoexcited non-Gaussian laser pulse semiconductor medium. Under the impact of acoustic pressure, the isotropic and homogeneous semiconductor medium is discussed concerning the fundamental equations according to charge carrier recombination processes with optoelectronic properties. Given the impact that relaxation times have on the governing equations. Laplace transforms were utilized in a one-dimensional (1D) context to examine essential non-dimensional properties such as displacement, stress components, carrier density, temperature, and acoustic pressure in order to mathematically answer the required problem. By imposing specific initial and boundary conditions, inverse Laplace transformations were employed to generate precise solutions for the numerical modeling of different physical quantities depicted graphically. The graphical representation of wave propagation data was followed by a theoretical analysis and interpretation, emphasizing the influence of other factors (such as heat rise time, relaxation times, and laser pulse effects) on the observed occurrences.
这项工作的目标是提供一个新颖的数学模型，该模型解释了某些物理变量（声 - 热 - 机械扩散）如何在光激发的非高斯激光脉冲半导体介质中以波的形式传播。在声压的影响下，根据具有光电特性的载流子复合过程，讨论了各向同性和均匀的半导体介质的基本方程。考虑到弛豫时间对控制方程的影响，在一维（1D）情况下利用拉普拉斯变换来研究诸如位移、应力分量、载流子密度、温度和声压等基本无量纲特性，以便从数学上解决所需的问题。通过施加特定的初始和边界条件，采用拉普拉斯逆变换来生成以图形方式描绘的不同物理量数值建模的精确解。波传播数据的图形表示之后是理论分析和解释，强调了其他因素（如热上升时间、弛豫时间和激光脉冲效应）对观测现象的影响。
