Measuring the polarization state of light has become a challenging study owing to its requirement to simultaneously extract the phase and amplitude parameters with high precision. Here, we present a weak measurement (WM) scheme with two pointers to determine a general polarization state. For the output spectrum from the WM regime, one pointer with the light frequency is used to measure the phase parameter while the other with the post-selected probability is to measure the amplitude. The optimized regime permits the simultaneous measurements of two parameters since the shift results of both two pointers are read in the same working regions. The simulated results show high sensitivity for both two parameters, and high precision that can be comparable with that by other existing schemes. Our scheme can be applied to measure other complex physical effects, providing a method for future ultra-sensitive sensing and metrology.

由于需要以高精度同时提取相位和幅度参数，因此测量光的偏振态已成为一项具有挑战性的研究。在这里，我们提出了一种带有两个指针的弱测量 (WM) 方案，以确定一般的偏振态。对于来自 WM 机制的输出频谱，一个带有光频的指针用于测量相位参数，而另一个带有后选概率的指针用于测量幅度。优化的机制允许同时测量两个参数，因为在相同的工作区域读取两个指针的移位结果。仿真结果表明，这两个参数都具有很高的灵敏度，并且具有可与其他现有方案相媲美的高精度。