OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 34, Iss. 9 — May. 1, 2009
  • pp: 1396–1398

Phase-step estimation in interferometry via an unscented Kalman filter

Thomas E. Zander, Venkatesh Madyastha, Abhijit Patil, Pramod Rastogi, and Leonhard M. Reindl  »View Author Affiliations

Optics Letters, Vol. 34, Issue 9, pp. 1396-1398 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (288 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present an unscented Kalman filter to identify the phase step imparted to a piezoelectric transducer in phase shifting interferometry in the presence of Gaussian noise. The advantage of the proposed algorithm lies in its ability to determine the phase step values between π and π rad without any prior calibration of the piezoelectric device. The algorithm is tested rigorously by using the simulated data in the presence of Gaussian distributed noise. Experimental validations are also performed in a holographic interferometry optical setup to verify the proposed approach. Once the phase step is identified, the interference phase can be estimated by using the least-squares fitting approach.

© 2009 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.2880) Instrumentation, measurement, and metrology : Holographic interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: January 30, 2009
Revised Manuscript: March 24, 2009
Manuscript Accepted: March 27, 2009
Published: April 23, 2009

Thomas E. Zander, Venkatesh Madyastha, Abhijit Patil, Pramod Rastogi, and Leonhard M. Reindl, "Phase-step estimation in interferometry via an unscented Kalman filter," Opt. Lett. 34, 1396-1398 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. Carré, Metrologia 2, 13 (1966). [CrossRef]
  2. K. Creath, in Holographic Interferometry, P.K.Rastogi, ed., Springer Series in Optical Sciences, (Springer-Verlag, 1994), Vol. 68, pp. 109-150.
  3. Z. Wang and B. Han, Opt. Lett. 29, 1671 (2004). [CrossRef] [PubMed]
  4. L. Z. Cai, Q. Liu, and X. L. Yang, Opt. Lett. 29, 183 (2004). [CrossRef] [PubMed]
  5. C. Rathjen, J. Opt. Soc. Am. A 12, 1997 (1995). [CrossRef]
  6. C. J. Morgan, Opt. Lett. 7, 368 (1982). [CrossRef] [PubMed]
  7. J. E. Grievenkamp, Opt. Eng. 23, 350 (1984).
  8. S. J. Julier, J. K. Uhlmann, and H. F. Durrant-Whyte, IEEE Trans. Autom. Control 5, 477 (2000). [CrossRef]
  9. R. Langoju, A. Patil, and P. Rastogi, Appl. Opt. 46, 8007 (2007). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited