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Modeling a MEMS deformable mirror using non-parametric estimation techniques.

Dani Guzmán¹, Francisco Javier de Cos Juez, Richard Myers

¹Pontificia Universidad Católica de Chile, Electrical Engineering Department, Vicuña Mackenna 4860, Santiago, Chile. cdguzman@ing.puc.cl

|October 14, 2010

Summary

Researchers modeled micro-electro-mechanical deformable mirrors using non-parametric estimation for adaptive optics. This technique achieved low positioning errors, improving wavefront correction accuracy for telescopes and optical systems.

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Area of Science:

Optics and Photonics
Mechanical Engineering
Control Systems

Background:

Adaptive optics systems correct wavefront distortions caused by atmospheric turbulence.
Micro-electro-mechanical deformable mirrors (MEMS-DMs) are crucial components in adaptive optics.
Accurate modeling of MEMS-DMs is essential for effective open-loop control.

Purpose of the Study:

To develop a non-parametric model for a 1024-actuator MEMS-DM.
To apply the model to an open-loop adaptive optics configuration.
To evaluate the positioning accuracy of the developed model.

Main Methods:

Non-parametric estimation techniques were employed.
A subset of 126 actuators was modeled.
The model relates wavefront correction inputs to mirror voltage outputs.

Main Results:

A functional model of the MEMS-DM was created.
The model was validated through experimental measurements.
Achieved positioning errors of 3.1% root mean square (rms) of the peak-to-peak wavefront excursion.

Conclusions:

Non-parametric modeling is effective for MEMS-DMs in open-loop adaptive optics.
The developed model demonstrates high accuracy in predicting actuator voltages.
This approach enhances the precision of wavefront correction in optical systems.