Linear quadratic regulator for laser beam shaping

Adaptive optics; Laser beam shaping; Linear quadratic regulator; Optimal control; Adaptive optics systems; Amplitude correction; Automatic optimization; Model uncertainties; Optimal controls; Root mean square errors; Electronic, Optical and Magnetic Materials; Atomic and Molecular Physics, and Optics; Mechanical Engineering; Electrical and Electronic Engineering

Abstract :

[en] The performance of an adaptive optics system depends on multiple factors, including the quality of the laser beam before being projected to the mesosphere. In general, cumbersome procedures are required to optimize the laser beam in terms of amplitude and phase. However, aberrations produced by the optics of the laser beam system are still detected during the operations due to, for example, uncertainty in the utilized models. In this paper we propose the use of feedback to overcome the presence of model uncertainty and disturbances. In particular we use a Linear Quadratic Regulator (LQR) for closed loop laser beam shaping using a setup of two deformable mirrors. The proposed method is studied and simulated to provide an automatic optimization of the Amplitude of the laser beam. The performance of the LQR control algorithm is evaluated via numerical simulations using the root mean square error (RMSE). The results show an effective amplitude correction of the laser system aberrations after 20 iterations of the algorithm, a RMSE less than 0.7 was obtained, with about 140 actuators per mirror and a separation of z=3 [m] among the mirrors.

Disciplines :

Electrical & electronics engineering

Author, co-author :

Escárate, Pedro; Advanced Center for Electrical and Electronics Engineering, Universidad Técnica Federico Santa María, Valparaíso, Chile ; Large Binocular Telescope Observatory, Steward Observatory, University of Arizona, Tucson, United States

Agüero, Juan C.; Advanced Center for Electrical and Electronics Engineering, Universidad Técnica Federico Santa María, Valparaíso, Chile ; Electronic Engineering Department, Universidad Técnica Federico Santa María, Valparaíso, Chile ; School of Electrical Engineering and Computer Science, The University of Newcastle, Australia

Zúñiga Fernández, Sebastián Gaspar ; Universidad Técnica Federico Santa María, Valparaíso, Chile > Electronic Engineering Department

Castro, Mario; Advanced Center for Electrical and Electronics Engineering, Universidad Técnica Federico Santa María, Valparaíso, Chile ; Electronic Engineering Department, Universidad Técnica Federico Santa María, Valparaíso, Chile

Garcés, Javier; Advanced Center for Electrical and Electronics Engineering, Universidad Técnica Federico Santa María, Valparaíso, Chile ; Electronic Engineering Department, Universidad Técnica Federico Santa María, Valparaíso, Chile

Language :

English

Title :

Linear quadratic regulator for laser beam shaping

Publication date :

July 2017

Journal title :

Optics and Lasers in Engineering

ISSN :

0143-8166

Publisher :

Elsevier Ltd

Volume :

Pages :

90 - 96

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://api.elsevier.com/content/article/PII:S0143816617302051?httpAccept=text/plain

Funders :

CONICYT - Comisión Nacional de Investigación Científica y Tecnológica [CL]

Funding text :

The authors were partially funded by the Advanced Center for Electrical and Electronic Engineering, AC3E, Basal Fund Conicyt FB0008.

Available on ORBi :

since 25 December 2023

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