Title
Iterative linear focal-plane wavefront correction
Author
Smith, C.S.
Marinicǎ, R.
den Dekker, A.J.
Verhaegen, M.
Korkiakoski, V.
Keller, C.U.
Doelman, N.J.
Publication year
2013
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.
Subject
Electronics
High Tech Systems & Materials
Industrial Innovation
Mechatronics, Mechanics & Materials
OM - Opto-Mechatronics
TS - Technical Sciences
To reference this document use:
http://resolver.tudelft.nl/uuid:c47d8d9f-f3ad-41b1-aa3b-3a256aeb2cf0
TNO identifier
481445
ISSN
1084-7529
Source
Journal of the Optical Society of America A: Optics and Image Science, and Vision, 30 (30), 2002-2011
Document type
article