Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Iterative linear focal-plane wavefront correction

Not Accessible

Your library or personal account may give you access

Abstract

We propose an efficient approximation to the nonlinear phase diversity (PD) method for wavefront reconstruction and correction from intensity measurements with potential of being used in real-time applications. The new iterative linear phase diversity (ILPD) method assumes that the residual phase aberration is small and makes use of a first-order Taylor expansion of the point spread function (PSF), which allows for arbitrary (large) diversities in order to optimize the phase retrieval. For static disturbances, at each step, the residual phase aberration is estimated based on one defocused image by solving a linear least squares problem, and compensated for with a deformable mirror. Due to the fact that the linear approximation does not have to be updated with each correction step, the computational complexity of the method is reduced to that of a matrix-vector multiplication. The convergence of the ILPD correction steps has been investigated and numerically verified. The comparative study that we make demonstrates the improved performance in computational time with no decrease in accuracy with respect to existing methods that also linearize the PSF.

© 2013 Optical Society of America

Full Article  |  PDF Article
More Like This
Nonlinear spline wavefront reconstruction from Shack–Hartmann intensity measurements through small aberration approximations

Elisabeth Brunner, Cornelis C. de Visser, and Michel Verhaegen
J. Opt. Soc. Am. A 34(9) 1535-1549 (2017)

Phase retrieval of large-scale time-varying aberrations using a non-linear Kalman filtering framework

Pieter Piscaer, Oleg Soloviev, and Michel Verhaegen
J. Opt. Soc. Am. A 38(1) 25-35 (2021)

Identification of the dynamics of time-varying phase aberrations from time histories of the point-spread function

Reinier Doelman, Måns Klingspor, Anders Hansson, Johan Löfberg, and Michel Verhaegen
J. Opt. Soc. Am. A 36(5) 809-817 (2019)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (8)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (43)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved