Abstract In this paper, the governing equations of a rotating orthotropic magneto-thermoelastic half-space with diffusion are formulated in the context of Lord-Shulman's theory of generalized thermoelasticity. The plane wave solutions of these equations indicate the existence of four quasi-planar waves namely quasi-longitudinal displacement (qLD) wave, quasi-thermal (qT) wave, quasi-mass diffusion (qMD) wave, and quasi-transverse displacement (qTD) wave. Reflection of these plane waves from a stress-free thermally insulated/isothermal surface is studied to obtain the reflection coefficients and energy ratios of reflected waves. The reflection coefficients and energy ratios of reflected waves are computed for a particular material and effect of diffusion, rotation angular frequency and magnetic parameter against the angle of incidence is observed graphically on reflection coefficients and energy ratios.

中文翻译：

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平面波从带有扩散的旋转正交各向异性磁热弹性固体半空间的自由表面反射

摘要 在本文中，在Lord-Shulman 广义热弹性理论的背景下，制定了具有扩散的旋转正交各向异性磁热弹性半空间的控制方程。这些方程的平面波解表明存在四种准平面波，即准纵向位移 (qLD) 波、准热 (qT) 波、准质量扩散 (qMD) 波和准横向位移 (qTD) ） 海浪。研究这些平面波从无应力绝热/等温表面的反射，以获得反射波的反射系数和能量比。针对特定材料和扩散效应计算反射波的反射系数和能量比，