Abstract: To address the issue of polarization metrology during the transmission of laser in the gas medium,a solution is proposed that utilizes the quantum coherence effect of two laser beams propagating in the same direction within the rubidium atomic gas medium.Through the Stokes polarization inversion method to detect the intensity distribution of one of the laser beams,the polarization distribution of the other laser beam can thus be obtained.The specific implementation involves simultaneously passing the two laser beams through the rubidium atomic gas.By altering the polarization direction and ellipticity of one of the laser beams,the intensity and polarization variations of the other detection laser beam after passing through the rubidium atomic gas are investigated.The experimental results were verified by replacing a laser beam with mixed vector light and angular vector light.It is discovered that when the polarization azimuth and ellipticities of the two laser beams are the same,the intensity of the laser reaches its maximum,yet the polarization distribution remains unchanged.For this,a mathematical model of quantum coherence is proposed for explanation,and ultimately,the feasibility of the proposed quantum coherence mathematical model is verified through experiments on the detection of the coherent time of transition energy levels.

Key words: Quantum coherence, Laser transmission, Monoatomic gas, Stokes polarimetry