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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 18 — Aug. 30, 2010
  • pp: 19304–19313

Single-plane multiple speckle pattern phase retrieval using a deformable mirror

Percival F. Almoro, Jesper Glückstad, and Steen G. Hanson  »View Author Affiliations

Optics Express, Vol. 18, Issue 18, pp. 19304-19313 (2010)

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A design for a single-plane multiple speckle pattern phase retrieval technique using a deformable mirror (DM) is analyzed within the formalism of complex ABCD-matrices, facilitating its use in conjunction with dynamic wavefronts. The variable focal length DM positioned at a Fourier plane of a lens comprises the adaptive optical (AO) system that replaces the time-consuming axial displacements in the conventional free-space multiple plane setup. Compared with a spatial light modulator, a DM has a smooth continuous surface which avoids pixelation, pixel cross-talk and non-planarity issues. The calculated distances for the proposed AO-system are evaluated experimentally using the conventional free-space phase retrieval setup. Two distance ranges are investigated depending on whether the measurement planes satisfy the Nyquist detector sampling condition or not. It is shown numerically and experimentally that speckle patterns measured at the non-Nyquist range still yield good reconstructions. A DM with a surface height of 25 microns and an aperture diameter of 5.2 mm may be used to reconstruct spherical phase patterns with 50-micron fringe spacing.

© 2010 OSA

OCIS Codes
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(030.6140) Coherence and statistical optics : Speckle
(050.1960) Diffraction and gratings : Diffraction theory
(100.3010) Image processing : Image reconstruction techniques
(100.5070) Image processing : Phase retrieval
(230.6120) Optical devices : Spatial light modulators

ToC Category:
Image Processing

Original Manuscript: June 29, 2010
Revised Manuscript: August 15, 2010
Manuscript Accepted: August 20, 2010
Published: August 26, 2010

Percival F. Almoro, Jesper Glückstad, and Steen G. Hanson, "Single-plane multiple speckle pattern phase retrieval using a deformable mirror," Opt. Express 18, 19304-19313 (2010)

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