Weak value amplification has shown its superiority in measurement of small physical effects. Here we introduce a signal-recycled weak-value-based velocity measurement strategy to decrease the attenuation of detected photons during the post-selection. Like the power-recycled scheme, we can improve the number of detected photons and signal-to-noise ratio of velocity by forming a cavity. However, optimal improvements of number of detected photons and signal-to-noise ratio cannot be obtained simultaneously in our signal-recycled scheme owing to the walk-off effect. Furthermore, we find that the reflected light is relatively strong compared with the power-recycled scheme, which may increase the collection-detection efficiency in prospective relevant experiment.

弱值放大在测量微小的物理效应方面表现出了优越性。在这里，我们介绍了一种基于信号循环的基于弱值的速度测量策略，以减少后选择期间检测到的光子的衰减。与能量回收方案一样，我们可以通过形成空腔来提高检测到的光子数量和速度的信噪比。然而，由于走离效应，在我们的信号回收方案中不能同时获得检测到的光子数量和信噪比的最佳改进。此外，我们发现与功率回收方案相比，反射光相对较强，这可能会提高前瞻性相关实验中的收集检测效率。