Real-time adaptive optics with pyramid wavefront sensors: part II. Accurate wavefront reconstruction using iterative methods. (21st March 2019)

• Record Type: Journal Article
• Authors: Hutterer, Victoria; Ramlau, Ronny; Shatokhina, Iuliia
• Is Part Of: Inverse problems. Volume 35:Number 4(2019)
• Publication Date: 2019-03-21
• Subjects: pyramid wavefront sensor -- wavefront reconstruction -- adaptive optics -- iterative methods; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/ab0900
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: In this paper, we address the inverse problem of fast, stable, and high-quality wavefront reconstruction from pyramid wavefront sensor data for adaptive optics systems on extremely large telescopes. For solving the indicated problem we apply well-known iterative mathematical algorithms, namely conjugate gradient, steepest descent, Landweber, Landweber–Kaczmarz and steepest descent-Kaczmarz iteration based on theoretical studies of the pyramid wavefront sensor. We compare the performance (in terms of correction quality and speed) of these algorithms in end-to-end numerical simulations of a closed adaptive loop. The comparison is performed in the context of a high-order SCAO system for METIS, one of the first-light instruments currently under design for the extremely large telescope. We show that, though being iterative, the analyzed algorithms, when applied in the studied context, can be implemented in a very efficient manner, which reduces the related computational effort significantly. We demonstrate that the suggested analytically developed approaches involving iterative algorithms provide comparable quality to standard matrix-vector-multiplication methods while being computationally cheaper.