In this paper, a rectangular magnetic fluid deformable mirror (MFDM) with dual-layer actuators is proposed, which is designed to improve the correction performance for full-order aberrations. Compared with the conventional adaptive optics system that uses two mirrors to configure as a woofer–tweeter system, the proposed MFDM combines the two mirrors into one by using a two-layer layout design of the actuators. Firstly, based on the governing equations of the magnetic fluid, derived from the principles of conservation of fluid mass and magnetic field, the dynamics model of surface deflection of the MFDM is analyzed in Cartesian coordinates under the boundary conditions of the magnetic field and the kinematic conditions of magnetic fluid. Then, the analytical solutions of the surface movement of the mirror subject to the applied currents in the electromagnetic coils are obtained by properly separating the variables with truncated model numbers. Finally, the experimental results based on a fabricated prototype square MFDM show the effectiveness of modeling and the correction performance of the mirror for the full-order aberrations.

本文提出了一种带有双层激励器的矩形磁流体可变形反射镜（MFDM），其设计目的是提高全像差的校正性能。与使用两个反射镜配置为低音高音扬声器系统的常规自适应光学系统相比，建议的MFDM通过使用执行器的两层布局设计将两个反射镜组合为一个。首先，根据磁流体的控制方程，从流体质量守恒原理和磁场的原理出发，在磁场和运动学边界条件下，在笛卡尔坐标系下分析​​了MFDM的表面挠度动力学模型。磁性流体的条件。然后，通过适当地将变量与截短的模型编号分开，可以获得在电磁线圈中施加的电流作用下的反射镜表面运动的解析解。最后，基于制造的原型方形MFDM的实验结果表明了建模的有效性以及反射镜对全阶像差的校正性能。