Optical wavefront measurement using phase retrieval with transverse translation diversity
Optics Express, Vol. 17, Issue 2, pp. 624-639 (2009)
http://dx.doi.org/10.1364/OE.17.000624
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Abstract
We demonstrate the use of transverse translation-diverse phase retrieval as a method for the measurement of wavefronts in situations where the detected intensity patterns would be otherwise undersampled. This technique involves using a smaller moving subaperture to produce a number of adequately sampled intensity patterns. The wavefront is then retrieved using an optimization jointly constrained by them. Expressions for the gradient of an error metric with respect to the optimization parameters are given. An experimental arrangement used to measure the transmitted wavefront of a plano-convex singlet using this technique is described. The results of these measurements were repeatable to within approximately λ/100 RMS.
© 2009 Optical Society of America
OCIS Codes
(100.5070) Image processing : Phase retrieval
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
ToC Category:
Image Processing
History
Original Manuscript: November 7, 2008
Revised Manuscript: December 23, 2008
Manuscript Accepted: December 28, 2008
Published: January 7, 2009
Citation
Gregory R. Brady, Manuel Guizar-Sicairos, and James R. Fienup, "Optical wavefront measurement using phase retrieval with transverse translation diversity," Opt. Express 17, 624-639 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-2-624
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References
- G. R. Brady and J. R. Fienup, "Range of Phase Retrieval in Optical Metrology," in Frontiers in Optics2005 / Laser Science XXI (Optical Society of America, Washington DC, 2005), paper FTuS3.
- J. R. Fienup, "Phase Retrieval for Undersampled Broadband Images," J. Opt. Soc. Am. A 16, 1831-1839 (1999). [CrossRef]
- P. Dumas, J. Fleig, G. Forbes, and P. E. Murphy, "Extending the range of interferometry through subaperture stitching," Proc. SPIE TD02, 134-7 (2003).
- M. Bray, "Stitching interferometer for large optics using a standard interferometer: description of an automated system [for ICF optics]," Proc. SPIE 3047, 911-18 (1997).
- M. Guizar-Sicairos and J. R. Fienup, "Phase retrieval with transverse translation diversity: a nonlinear optimization approach," Opt. Express 16, 7264-78 (2008). [CrossRef] [PubMed]
- H. M. L. Faulkner and J. M. Rodenburg, "Movable aperture lensless transmission microscopy: a novel phase retrieval algorithm," Phys. Rev. Lett. 93, 023903 (2004). [CrossRef] [PubMed]
- J. M. Rodenburg and H. M. L. Faulkner, "A phase retrieval algorithm for shifting illumination," Appl. Phys. Lett. 85, 4795-4797 (2004). [CrossRef]
- J. M. Rodenburg, A. C. Hurst and A. G. Cullis, "Transmission microscopy without lenses for objects of unlimited size," Ultramicroscopy 107, 227-231 (2007). [CrossRef]
- J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, "Hard-x-ray lensless imaging of extended objects," Phys. Rev. Lett. 98, 034801 (2007). [CrossRef] [PubMed]
- H. M. L. Faulkner and J. M. Rodenburg, "Error tolerance of an iterative phase retrieval algorithm for moveable illumination microscopy," Ultramicroscopy 103, 153-164 (2005). [CrossRef] [PubMed]
- M. Guizar-Sicairos and J. R. Fienup, "Measurement of coherent x-ray focused beams by phase retrieval with transverse translation diversity," submitted toOpt. Express.
- J. R. Fienup, "Phase Retrieval Algorithms: A Comparison," Appl. Opt. 21, 2758-2769 (1982). [CrossRef] [PubMed]
- J. R. Fienup, "Phase-Retrieval Algorithms for a Complicated Optical System," Appl. Opt. 32, 1737-1746 (1993). [CrossRef] [PubMed]
- W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes: The Art of Scientific Computing (Cambridge University Press, 1986), Chap. 10.
- M. Guizar-Sicairos, S. T. Thurman, and J. R. Fienup, "Efficient Subpixel Image Registration Algorithms," Opt. Lett. 33, 156-158 (2008). [CrossRef] [PubMed]
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