Iterative linear focal-plane wavefront correction

作者:Smith C S; Marinica R*; den Dekker A J; Verhaegen M; Korkiakoski V; Keller C U; Doelman N
来源:Journal of the Optical Society of America A-Optics Image Science and Vision, 2013, 30(10): 2002-2011.
DOI:10.1364/JOSAA.30.002002

摘要

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 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.

  • 出版日期2013-10