This paper is devoted to study the characteristics of various reflected waves in a homogeneous anisotropic fiber-reinforced magneto-thermoelastic diffusive solid under dual-phase lag theory of generalized thermoelasticity with two-temperature. The problem is solved analytically and it is found that there exist four coupled quasi waves: qP (quasi-P), qMD (quasi mass diffusion), qT (quasi thermal) and qSV (quasi-SV) waves propagating with different speeds in a two-dimensional model of the solid. The speeds of all the existing waves are found to be complex valued. The stress free surface of the half space is considered thermally insulated and expressions of reflection coefficients and energy ratios are derived in closed form. With the help of MATLAB programming, different characteristics of waves like the phase velocity, reflection coefficient and energy ratio are computed numerically and plotted graphically against angle of incidence to evince the significance of two-temperature, magnetic field, diffusion and reinforcement. The conservation of the energy at the surface is also verified.

本文致力于研究广义热弹性双温度双相滞后理论下均匀各向异性纤维增强磁热弹性扩散固体中各种反射波的特性。解析求解，发现存在四种耦合准波：qP（准-P）、qMD（准质量扩散）、qT（准热）和qSV（准-SV ）) 波在固体的二维模型中以不同的速度传播。发现所有现有波的速度都是复数值。半空间的无应力表面被认为是绝热的，反射系数和能量比的表达式以封闭形式导出。在 MATLAB 编程的帮助下，对波的不同特性（如相速度、反射系数和能量比）进行了数值计算，并针对入射角绘制了图形，以证明双温度、磁场、扩散和增强的重要性。也验证了表面的能量守恒。