Rajaeipour Pouya, Banerjee Kaustubh, Zappe Hans, Ataman Çağlar
Appl Opt. 2019 Feb 1;58(4):1064-1072. doi: 10.1364/AO.58.001064.
We present a novel open-loop control method for an electrostatically actuated optofluidic refractive phase modulator, and demonstrate its performance for high-order aberration correction. Contrary to conventional electrostatic deformable mirrors, an optofluidic modulator is capable of bidirectional (push-pull) actuation through hydro-mechanical coupling. Control methods based on matrix pseudo-inversion, the common approach used for deformable mirrors, thus perform sub-optimally for such a device. Instead, we formulate the task of finding driving voltages for a given desired wavefront shape as an optimization problem with inequality constraints that can be solved using an interior-point method in real time. We show that this optimization problem is a convex one and that its solution represents a global minimum in residual wavefront error. We use the new method to control both the refractive phase modulator and a conventional electrostatic deformable mirror, and experimentally demonstrate improved correction fidelity for both.
我们提出了一种用于静电驱动光流体折射相位调制器的新型开环控制方法，并展示了其在高阶像差校正方面的性能。与传统的静电可变形镜不同，光流体调制器能够通过流体机械耦合进行双向（推挽式）驱动。基于矩阵伪逆的控制方法是可变形镜常用的方法，因此对于这种设备而言性能欠佳。相反，我们将为给定的所需波前形状寻找驱动电压的任务表述为一个带有不等式约束的优化问题，该问题可使用内点法实时求解。我们表明这个优化问题是一个凸问题，其解代表了残余波前误差的全局最小值。我们使用新方法来控制折射相位调制器和传统的静电可变形镜，并通过实验证明两者的校正保真度都得到了提高。
