Authors

Citation

Mt. Chu et al., A mathematical framework for the linear reconstructor problem in adaptive optics, LIN ALG APP, 316(1-3), 2000, pp. 113-135

Citations number

22

Language

INGLESE

art.tipo

Article

Categorie Soggetti

Mathematics

Journal title

LINEAR ALGEBRA AND ITS APPLICATIONS

ISSN journal

0024-3795
→ ACNP

Volume

316

Issue

1-3

Year of publication

2000

Pages

113 - 135

Database

ISI

SICI code

0024-3795(20000901)316:1-3<113:AMFFTL>2.0.ZU;2-4

Abstract

The wave front field aberrations induced by atmospheric turbulence can seve
rely degrade the performance of an optical imaging system. Adaptive optics
refers to the process of removing unwanted wave front distortions in real t
ime, i.e,, before the image is formed, with the use of a phase corrector. T
he basic idea in adaptive optics is to control the position of the surface
of a deformable mirror in such a way as to approximately cancel the atmosph
eric turbulence effects on the phase of the incoming light wave front. A ph
ase computation system, referred to as a reconstructor, transforms the outp
ut of a wave front sensor into a set of drive signals that control the shap
e of a deformable mirror. The control of a deformable mirror is often based
on a linear wave front reconstruction algorithm that is equivalent to a ma
trix-vector multiply. The matrix associated with the reconstruction algorit
hm is called the reconstructor matrix. Since the entire process, from the a
cquisition of wave front measurements to the positioning of the surface of
the deformable mirror, must be performed at speeds commensurate with the at
mospheric changes, the adaptive optics control imposes several challenging
computational problems. The goal of this paper is twofold: (i) to describe
a simplified yet feasible mathematical framework that accounts for the inte
ractions among main components involved in an adaptive optics imaging syste
m, and (ii) to present several ways to estimate the reconstructor matrix ba
sed on this framework. The performances of these various reconstruction tec
hniques an illustrated using some simple computer simulations. (C) 2000 Els
evier Science Inc. All rights reserved.