In this paper, a two-temperatures photothermoelastic interactions in an infinite semiconductor medium with a spherical cavity were studied using mathematical methods. The cavity internal surface is traction free and the carrier density is photogenerated by boundary heat flux with an exponentially decaying pulse. Laplace transform techniques are used to obtain the exact solution of the problem in the transformed domain by the eigenvalue approach and the inversion of Laplace transforms has been carried numerically. Numerical computations have been also performed for a silicon-like semiconductor material.

中文翻译：

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具有 3D 球腔的半导体材料中的两温光热相互作用

在本文中，使用数学方法研究了具有球腔的无限半导体介质中的两个温度光热弹性相互作用。腔内表面不受牵引，载流子密度由边界热通量和指数衰减脉冲光产生。拉普拉斯变换技术被用于通过特征值方法在变换域中获得问题的精确解，并且拉普拉斯变换的反演已被数值地进行。还对类硅半导体材料进行了数值计算。