振荡介质中平面波的反射

Reflection of plane wave in oscillatory media

在复金慈堡-朗道方程描述的振荡介质中研究了平面波的反射.从理论上给出了产生反射的条件,导出了反射波和入射波这两个区域的分界线与两种介质分界线的夹角.发现两类反射,一类为回折射产生的反射,对于这类反射,理论上给出了反射角;另一类为纯反射,它与折射无关.理论分析与数值模拟结果均表明:只有当入射角大于临界入射角才会发生反射,而且反射角等于临界入射角;对于纯反射,反射角随波频率增大而增大.

The reflection of plane waves in oscillatory media described by complex Ginzburg-Landau equation has been researched. The reflection condition and the angle formed by the boundary line between incident and reflected waves and the boundary line separating two regions of different kinetics are theoretically given. Two kinds of reflections have been found. One is a back refraction-induced reflection. The corresponding angle is theoretically obtained. The other is a pure reflection, which is independent of refraction. The theoretical results are supported by numerical results. The theoretical and numerical results show that the reflection takes place only if the angle of incidence is larger than a critical value. The angle of reflection is equal to the critical angle of incidence, and it increases as the frequency of the incident wave increases for the pure reflection.