High fidelity adaptive mirror simulations with reduced order models

In the design process of large adaptive mirrors numerical simulations represent the first step to evaluate the system design compliance in terms of performance, stability and robustness. For the next generation of Extremely Large Telescopes increased system dimensions and bandwidths lead to the need of modeling not only the deformable mirror alone, but also all the system supporting structure or even the full telescope. The capability to perform the simulations with an acceptable amount of time and computational resources is highly dependent on finding appropriate methods to reduce the size of the resulting dynamic models. In this paper we present a framework developed together with the company Microgate to create a reduced order structural model of a large adaptive mirror as a preprocessing step to the control system simulations. The reduced dynamic model is then combined with the remaining system components allowing to simulate the full adaptive mirror in a computationally efficient way. We analyze the feasibility of our reduced models for Microgate's prototype of the adaptive mirror of the Giant Magellan Telescope.

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Publication Details

Journal
Journal of Mathematics in Industry
Published
2024-09-06
DOI
https://doi.org/10.1186/s13362-024-00158-5
Primary Topic
Adaptive optics and wavefront sensing
Type
article
Field-Weighted Citation Impact
0.00

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article

High fidelity adaptive mirror simulations with reduced order models

Bernadett Stadler, Andreas Obereder, Matteo Tintori, Mauro Manetti et al.
Journal of Mathematics in Industry
Adaptive optics and wavefront sensing
article

High fidelity adaptive mirror simulations with reduced order models

Bernadett Stadler, Andreas Obereder, Matteo Tintori, Mauro Manetti, Roberto Biasi, Ronny Ramlau
article en

Abstract

In the design process of large adaptive mirrors numerical simulations represent the first step to evaluate the system design compliance in terms of performance, stability and robustness. For the next generation of Extremely Large Telescopes increased system dimensions and bandwidths lead to the need of modeling not only the deformable mirror alone, but also all the system supporting structure or even the full telescope. The capability to perform the simulations with an acceptable amount of time and computational resources is highly dependent on finding appropriate methods to reduce the size of the resulting dynamic models. In this paper we present a framework developed together with the company Microgate to create a reduced order structural model of a large adaptive mirror as a preprocessing step to the control system simulations. The reduced dynamic model is then combined with the remaining system components allowing to simulate the full adaptive mirror in a computationally efficient way. We analyze the feasibility of our reduced models for Microgate's prototype of the adaptive mirror of the Giant Magellan Telescope.

Journal of Mathematics in IndustryVol. 14(1)
Johannes Kepler University of Linz (AT), Ferioli & Gianotti (Italy) (IT), Micro Photon Devices (IT), Linz Center of Mechatronics (Austria) (AT), Johann Radon Institute for Computational and Applied Mathematics (AT)
Nvidia, Austrian Science Fund, Österreichische Forschungsförderungsgesellschaft
Openalex Percentile: Top 87%
Adaptive optics and wavefront sensing
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