Analysis of the electrons-nuclei coupled atomic gyroscope

The electrons-nuclei coupled atomic gyroscope is analyzed numerically in order to get the difference of this scheme from the uncoupled scheme directly from the Bloch equations. Several interesting results are achieved including the shielding effect, the signal enhancement effect, the shift of the optimized pumping rate and the knee point of the compensation gas density. The decrease of the conversion coefficient between magnetic field and rotation signals is analyzed, which diverge from that calculated by the definition in the previous reports. Furthermore, the relation between the decrease of the conversion coefficient and the compensation field is also analyzed, which is an important factor in the rotation measurement and calibration. The shielding and enhancement shows the potential of this scheme for a high precision gyroscope while the other analyses provide some guidance on the design optimization and self-calibration.