基于数值微分计算的SERF原子自旋惯性测量动态仿真

基于量子调控技术的SERF原子自旋惯性测量仪表与传统惯性测量仪表相比,具有精度高、无活动部件、对加速度不敏感等优点,被公认是下一代高精度惯性测量的发展方向。分析了SERF原子自旋惯性装置Bloch微分方程组模型下磁场、激光、角速度输入对碱金属电子极化率和惰性气体核子极化率的影响。针对实验条件下原子系综Bloch微分方程组难以解析求解的问题,基于可变阶次数值微分计算,建立了相应的Simulink模型对实验条件下的原子系综进行数值求解,并分析了极化率对光场、磁场、角速度输入的瞬态响应与稳态响应。仿真结果与理论计算结果相吻合,验证了Bloch方程数值求解的可行性与准确性。该方法可得到惯性测量系统的动态响应,可用于模拟复杂输入下的SERF原子自旋惯性测量系统的输出响应。

Dynamic Simulation of SERF Atomic Spin Inertial Measurement Based on Numerical Differential Algorithm

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.