Phase-step estimation in interferometry via an unscented Kalman filter
Optics Letters, Vol. 34, Issue 9, pp. 1396-1398 doi:10.1364/OL.34.001396
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- 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
Instrumentation, Measurement, and Metrology
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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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
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History
Original Manuscript: January 30, 2009
Manuscript Accepted: March 27, 2009
Revised Manuscript: March 24, 2009
Published: April 23, 2009
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Author Affiliations
Ecole Polytechnique Fédérale de Lausanne
Georgia Institute of Technology
University of Freiburg
University of Western Australia
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