In the present work, we consider a problem of reflection and transmission of plane waves at an interface between two different isotropic dielectric half-spaces by considering the effects of flexoelectricity, micro-inertia and strain gradient elasticity. The plane wave solutions of the governing field equations for such a medium shows the existence of two quasi-plane waves. An incident plane wave at an interface between two dissimilar half-spaces generates two reflected and two transmitted waves. By using the continuous conditions at the interface, the relations between amplitude ratios of reflected and transmitted waves are derived in terms of a transfer matrix. A quantitative example of the model is set up to evaluate numerically the amplitude and energy ratios of various reflected and transmitted waves. The numerical results are validated by the law of energy conservation. The numerical results are illustrated graphically against the angle of incidence to show the effects of flexoelectricity, micro-inertia and strain gradients on the amplitude and energy ratios.

在目前的工作中，我们通过考虑挠曲电、微惯性和应变梯度弹性的影响来考虑平面波在两个不同各向同性介电半空间之间的界面处的反射和传输问题。这种介质的控制场方程的平面波解表明存在两个准平面波。在两个不同的半空间之间的界面处的入射平面波会产生两个反射波和两个透射波。通过使用界面处的连续条件，根据传递矩阵导出反射波和透射波的振幅比之间的关系。建立了模型的定量实例，对各种反射波和透射波的振幅比和能量比进行了数值评价。数值结果通过能量守恒定律得到验证。数值结果根据入射角以图形方式说明，以显示挠曲电、微惯性和应变梯度对振幅和能量比的影响。