Determination of polarization states of light using the weak measurement with two pointers

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.