Open AccessOptimal, blind-search modal wavefront correction in atmospheric turbulence. Part I: simulations
Author(s) -
Max Segel,
Szymon Gładysz
Publication year - 2021
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.408682
Subject(s) - zernike polynomials , adaptive optics , wavefront , deformable mirror , modal , optics , basis (linear algebra) , reduction (mathematics) , turbulence , atmospheric turbulence , gradient descent , computer science , physics , strehl ratio , algorithm , mathematics , artificial intelligence , chemistry , geometry , artificial neural network , polymer chemistry , thermodynamics
Modal control is an established tool in adaptive optics. It allows not only for the reduction in the controllable degrees of freedom, but also for filtering out unseen modes and optimizing gain on a mode-by-mode basis. When Zernike polynomials are employed as the modal basis for correcting atmospheric turbulence, their cross-correlations translate to correction errors. We propose optimal modal decomposition for gradient-descent-based wavefront sensorless adaptive optics, which is free of this problem. We adopt statistically independent Karhunen-Loève functions for iterative blind correction and analyze performance of the algorithm in static as well as in dynamic simulated turbulence conditions.