Dependence of the compensation error on the error of a sensor and corrector in an adaptive optics phase-conjugating system

• Published in: Quantum electronics (Woodbury, N.Y.) N.Y.), 2015-01, Vol.45 (8), p.736-742
• Main Authors: Kiyko, V.V., Kislov, V.I., Ofitserov, E.N.
• Format: Article
• Language: English
• Subjects: ACCURACY; ACTUATORS; adaptive optics system; ALGORITHMS; Compensation; compensation error; control algorithm; corrector error; deformable mirror; Error analysis; Error correction; Error detection; ERRORS; INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; matching of the number of counts to the number of actuators; Mathematical models; Noise; OPTICAL SYSTEMS; Permissible error; phase conjugation; RESPONSE FUNCTIONS; sensor error; SENSORS; STATISTICAL MODELS
• ISSN: 1063-7818; 1468-4799
• DOI: 10.1070/QE2015v045n08ABEH015582

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 less than the number of counts, and that difference grows with increasing measurement noise.