The present investigation is concerned with the reflection phenomena of plane waves in a homogeneous, isotropic, nonlocal, photothermoelastic semiconducting medium under the effects of double porosity, variable thermal conductivity and mass diffusivity. The formulation is applied to generalized thermoelasticity based on the Lord–Shulman theory. The problem is solved analytically and it is shown that there exist six coupled longitudinal waves in addition to an independent transverse wave in the considered medium. The amplitude ratios and energy ratios of these reflected waves have been calculated analytically and computed numerically for a specific material with the help of MATLAB programming. The numerical results of reflection coefficients are presented graphically to show the effects of double porosity, photothermal transport process, nonlocality, variable thermal conductivity and mass diffusivity. It is verified that during reflection phenomena, the sum of energy ratios is equal to unity at each angle of incidence and there is no energy dissipation at the boundary surface. Some special cases of interest have also been inferred from the current investigation.

中文翻译：

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平面波在具有可变热导率和质量扩散率的非局域双多孔弹性半导体介质中的反射

目前的研究涉及在双孔隙率、可变热导率和质量扩散率的影响下，平面波在均匀、各向同性、非局域、光热弹性半导体介质中的反射现象。该公式应用于基于洛德-舒尔曼理论的广义热弹性。该问题通过解析得到解决，结果表明在所考虑的介质中除了一个独立的横波之外还存在六个耦合的纵波。借助 MATLAB 编程，对特定材料的这些反射波的振幅比和能量比进行了分析计算和数值计算。反射系数的数值结果以图形方式呈现，以显示双孔隙率、光热传输过程、非局域性、可变导热率和质量扩散率的影响。经验证，在反射现象中，每个入射角的能量比之和等于1，并且在边界面处没有能量耗散。从当前的调查中还推断出了一些令人感兴趣的特殊案例。