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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 7 — Apr. 7, 2014
  • pp: 8503–8514

Multi-step vortex filtering for phase extraction

Alberto Aguilar, Abundio Dávila, and Jorge García-Márquez  »View Author Affiliations

Optics Express, Vol. 22, Issue 7, pp. 8503-8514 (2014)

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A quantized version of a continuous spiral phase filter with unitary topological charge, here denominated multi-step spiral phase filter (MSSPF), is proposed to extract phase from rotated spiral interferograms. Spiral interferograms are usually obtained from phase objects by registering the interference of its vortex filtered complex amplitude with a reference complex amplitude. The structure found in this kind of interferograms, depend on the number of steps used in the MSSPF that usually are assumed with an infinite number of steps for the continuous spiral phase filter. Reducing the number of steps of the MSSPF affects the residual phase error obtained after the phase extraction method. This error is therefore analysed here using a numerical simulation of a Mach-Zender interferometer with a MSSPF and a reduced number of steps. It is shown that, for our proposed method of rotated spiral interferograms, a residual error persists as the number of steps is increased approaching the residual error reported for the phase extraction method of single-shot spiral interferograms. Furthermore, it is shown that this novel technique can be applied without further modifications for phase contrast measurement. Experimental results show similar performance of this phase extraction technique, when compared to the results obtained with a commercial interferometer and with the numerical simulations.

© 2014 Optical Society of America

OCIS Codes
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(230.6120) Optical devices : Spatial light modulators
(050.4865) Diffraction and gratings : Optical vortices

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: January 27, 2014
Revised Manuscript: March 13, 2014
Manuscript Accepted: March 15, 2014
Published: April 2, 2014

Alberto Aguilar, Abundio Dávila, and Jorge García-Márquez, "Multi-step vortex filtering for phase extraction," Opt. Express 22, 8503-8514 (2014)

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