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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • 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)
http://dx.doi.org/10.1364/OL.34.001396


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Abstract

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

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

Citation
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)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-34-9-1396

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