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Adaptive optics
Dependence of the compensation error on the error of a sensor and corrector in an adaptive optics phase-conjugating system
V. V. Kiykoab, V. I. Kislova, E. N. Ofitserova a A.M. Prokhorov General Physics Institute Russian Academy of Sciences, Moscow
b St. Petersburg National Research University of Information Technologies, Mechanics and Optics
Abstract:
In the framework of a statistical model of an adaptive optics system (AOS) of phase conjugation, three algorithms based on an integrated mathematical approach are considered, each of them intended for minimisation of one of the following characteristics: the sensor error (in the case of an ideal corrector), the corrector error (in the case of ideal measurements) and the compensation error (with regard to discreteness and measurement noises and to incompleteness of a system of response functions of the corrector actuators). Functional and statistical relationships between the algorithms are studied and a relation is derived to ensure calculation of the mean-square compensation error as a function of the errors of the sensor and corrector with an accuracy better than 10%. Because in adjusting the AOS parameters, it is reasonable to proceed from the equality of the sensor and corrector errors, in the case the Hartmann sensor is used as a wavefront sensor, the required number of actuators in the absence of the noise component in the sensor error turns out 1.5–2.5 times less than the number of counts, and that difference grows with increasing measurement noise.
Keywords:
adaptive optics system, phase conjugation, deformable mirror, control algorithm, sensor error, corrector error, compensation error, matching of the number of counts to the number of actuators.
Received: 13.06.2014 Revised: 22.12.2014
Citation:
V. V. Kiyko, V. I. Kislov, E. N. Ofitserov, “Dependence of the compensation error on the error of a sensor and corrector in an adaptive optics phase-conjugating system”, Kvantovaya Elektronika, 45:8 (2015), 736–742 [Quantum Electron., 45:8 (2015), 736–742]
Linking options:
https://www.mathnet.ru/eng/qe16219 https://www.mathnet.ru/eng/qe/v45/i8/p736
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Abstract page: | 520 | Full-text PDF : | 89 | References: | 57 | First page: | 7 |
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