Abstract

The main objective of this research is to make a mathematical modeling of photothermal wave propagation in a semiconducting medium due to Lord-Shulman (L-S) theory with diffusion and rotation effects. Firstly, the governing equations are given based on generalized thermoelasticity with one relaxation time, diffusion effect, and the entire medium is rotated with a steady angular velocity. Then, applying the harmonic method (normal mode technique), the solution of the dissipation equation and the expressions for components of the displacement, stress, diffusion, carrier density, and temperature are considered and calculated numerically. Finally, the influences of the rotation and diffusion effects are illustrated graphically which are pronounced on the different physical quantities.

摘要

本研究的主要目的是根据具有扩散和旋转效应的 Lord-Shulman (LS) 理论对半导体介质中的光热波传播进行数学建模。首先，基于具有一个弛豫时间、扩散效应和整个介质以恒定角速度旋转的广义热弹性，给出了控制方程。然后，应用谐波法（正常模式技术），考虑并数值计算耗散方程的解和位移、应力、扩散、载流子密度和温度分量的表达式。最后，以图形方式说明了旋转和扩散效应对不同物理量的影响。