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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 28 — Oct. 1, 2012
  • pp: 6831–6838

Two-step phase-shift interferometry with known but arbitrary reference waves: a graphical interpretation

Nail Sabitov, Thomas Meinecke, Damien P. Kelly, and Stefan Sinzinger  »View Author Affiliations


Applied Optics, Vol. 51, Issue 28, pp. 6831-6838 (2012)
http://dx.doi.org/10.1364/AO.51.006831


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Abstract

There are many applications in biology and metrology where it is important to be able to measure both the amplitude and phase of an optical wave field. There are several different techniques for making this type of measurement, including digital holography and phase retrieval methods. In this paper we propose an analytical generalization of this two-step phase-shifting algorithm. We investigate how to reconstruct the object signal if both reference waves are different in phase and amplitude. The resulting equations produce two different solutions and hence an ambiguity remains as to the correct solution. Because of the complexity of the generalized analytical expressions we propose a graphical-vectorial method for solution of this ambiguity problem. Combining our graphical method with a constraint on the amplitude of the object field we can unambiguously determine the correct result. The results of the simulation are presented and discussed.

© 2012 Optical Society of America

OCIS Codes
(090.2880) Holography : Holographic interferometry
(110.2960) Imaging systems : Image analysis
(120.2880) Instrumentation, measurement, and metrology : Holographic interferometry
(120.3180) Instrumentation, measurement, and metrology : Interferometry

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: June 7, 2012
Revised Manuscript: August 19, 2012
Manuscript Accepted: August 20, 2012
Published: September 27, 2012

Citation
Nail Sabitov, Thomas Meinecke, Damien P. Kelly, and Stefan Sinzinger, "Two-step phase-shift interferometry with known but arbitrary reference waves: a graphical interpretation," Appl. Opt. 51, 6831-6838 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-28-6831

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