Reflection of plane wave in oscillatory media

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.