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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 11 — May. 25, 2009
  • pp: 8789–8794

Noise in phase shifting interferometry

M. Servin, J. C. Estrada, J. A. Quiroga, J. F. Mosiño, and M. Cywiak  »View Author Affiliations

Optics Express, Vol. 17, Issue 11, pp. 8789-8794 (2009)

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We present a theoretical analysis to estimate the amount of phase noise due to noisy interferograms in Phase Shifting Interferometry (PSI). We also analyze the fact that linear filtering transforms corrupting multiplicative noise in Electronic Speckle Pattern Interferometry (ESPI) into fringes corrupted by additive gaussian noise. This fact allow us to obtain a formula to estimate the standard deviation of the noisy demodulated phase as a function of the spectral response of the preprocessing spatial filtering combined with the PSI algorithm used. This phase noise power formula is the main result of this contribution.

© 2009 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: February 23, 2009
Revised Manuscript: March 12, 2009
Manuscript Accepted: March 12, 2009
Published: May 11, 2009

M. Servin, J. C. Estrada, J. A. Quiroga, J. F. Mosino, and M. Cywiak, "Noise in phase shifting interferometry," Opt. Express 17, 8789-8794 (2009)

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  1. C. Rathjen, "Statistical properties of phase-shift algorithms," J. Opt. Soc. Am. A 12, 1997-2008 (1995).
  2. C. P. Brophy, "Effect of intensity error correlation on the computed phase of phase-shifting interferometry," J. Opt. Soc. Am. A 7, 537-541 (1990).
  3. Y. Surrel, "Additive noise effect in digital phase detection," Appl. Opt. 36, 271-276 (1997). [PubMed]
  4. J. Schmit and C. Katherine, "Window function influence on phase error in phase-shifting algorithms," Appl. Opt. 35, 5642-5649 (1996). [PubMed]
  5. G. Paez and M. Strojnik, "Analysis and minimization of noise effects in phase shifting interferometry," SPIE Vol. 3744, 295-305 (1999).
  6. K. J. Gasvik, Optical Metrology (John Wiley & Sons Ltd); 2th ed., (1996).
  7. A. Papoulis, Probability, Random Variables, and Stochastic Processes, (McGraw-Hill, 3th ed., 1991).
  8. M. Servin and M. Kujawinska, Modern Fringe Pattern Analysis in Interferometry, in Handbook of Optical Engineering, D. Malacara and B. J. Thompson eds., (Marcel Dekker Inc., 2001) Chap. 12.
  9. L. W. Couch, Digital & Analog Communication Systems, (Prentice Hall, 2006) 7th ed.
  10. P. Hariharan, B. F. Oreb, and T. Eyui, "Digital phase shifting interferometry: a simple error-compensating phase calculation algorithm," Appl. Opt. 26,2504-2505 (1987). [PubMed]
  11. K. Freischland and C. L. Koliopolous, "Fourier description of digital phase-measuring interferometry," J. Opt. Soc. Am. A 7,542-552 (1990).

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