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Fast iterative algorithm (FIA) for controlling MEMS deformable mirrors: principle and laboratory demonstration.
Célia Blain1, Olivier Guyon, Colin Bradley
1University of Victoria, Department of Mechanical Engineering, PO Box 3055, Stn. CSC, Victoria, BC, V8W 3P6, Canada. cblain@me.uvic.ca
Optics Express
|November 24, 2011
Summary
We developed a fast, accurate iterative algorithm for controlling Micro-Electro-Mechanical-System (MEMS) deformable mirrors (DMs) in open-loop adaptive optics (AO). This new method improves phase screen reproduction by threefold compared to standard models.
Area of Science:
- Optical Engineering
- Astronomy
- Instrumentation
Background:
- Adaptive optics (AO) systems require precise control of deformable mirrors (DMs) for advanced imaging.
- Existing control models for MEMS DMs may lack the accuracy and speed needed for demanding applications like extreme AO (XAO).
Purpose of the Study:
- To present a novel iterative algorithm for controlling MEMS DMs in open-loop AO systems.
- To achieve high accuracy and real-time control rates (≥ kHz) for improved phase correction.
Main Methods:
- Developed a simple physical model for DM actuator and membrane forces with few measurable parameters.
- Implemented an iterative algorithm that applies forces and updates actuator displacements in real-time.
- Validated the algorithm using experimental measurements of phase screens.
Main Results:
- The algorithm achieves high accuracy in reproducing Kolmogorov phase screens, with errors of 7.3% of the RMS and 1.6% of the peak-to-valley phase.
- Demonstrated a threefold improvement in performance compared to the standard quadratic voltage-displacement model.
- Achieved control rates suitable for real-time applications in Extreme-AO systems.
Conclusions:
- The proposed iterative algorithm offers a significant advancement in MEMS DM control for open-loop AO.
- The algorithm's performance and real-time capabilities make it suitable for cutting-edge astronomical instruments like SCExAO and Multi-Object AO systems.

