Wavefront reconstruction from non-modulated pyramid wavefront sensor data using a singular value type expansion. (22nd January 2018)

• Record Type: Journal Article
• Authors: Hutterer, Victoria; Ramlau, Ronny
• Is Part Of: Inverse problems. Volume 34:Number 3(2018:Mar.)
• Publication Date: 2018-01-22
• Subjects: pyramid wavefront sensor -- singular value type expansion -- Chebychev polynomials -- adaptive optics; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/aaa4a3
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: The new generation of extremely large telescopes includes adaptive optics systems to correct for atmospheric blurring. In this paper, we present a new method of wavefront reconstruction from non-modulated pyramid wavefront sensor data. The approach is based on a simplified sensor model represented as the finite Hilbert transform of the incoming phase. Due to the non-compactness of the finite Hilbert transform operator the classical theory for singular systems is not applicable. Nevertheless, we can express the Moore–Penrose inverse as a singular value type expansion with weighted Chebychev polynomials.