基于数值微分计算的SERF原子自旋惯性测量动态仿真

Compared with the traditional inertial measurement instruments, SERF atomic spin inertial measurement based on quantum control technology has the advantages of high precision, no moving parts and insensitive to acceleration, which is recognized as a development direction of the next generation of high-precision inertial measurements. In this paper, Bloch differential equations are established to describe the effects of magnetic field, laser and angular velocity on the electronic polarizability of alkali metals and the nucleon polarizability of inert gases. Based on Bloch differential equations of atomic ensemble under experimental conditions, the corresponding Simulink model is established based on variable order numerical differential calculation. The transient and steady responses of polarizability to the input of physical field and angular velocity are analyzed numerically. The simulation results are consistent with the theoretical results, which verifies the feasibility and accuracy of numerical solution of Bloch equation. This method can be used to simulate the output response of SERF atomic spin inertial measurement system with complex input.