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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 17 — Aug. 21, 2006
  • pp: 7686–7691

Estimation of multiple phases in interferometry in the presence of nonlinear arbitrary phase steps

Rajesh Langoju, Abhijit Patil, and Pramod Rastogi  »View Author Affiliations


Optics Express, Vol. 14, Issue 17, pp. 7686-7691 (2006)
http://dx.doi.org/10.1364/OE.14.007686


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Abstract

A phase shifting device (PZT) which is commonly applied in interferometry for phase measurement, unfortunately, has a nonlinear response to the applied voltage. In certain configurations such as, holographic moiré, where incorporation of two PZTs yields multiple phase information regarding the two orthogonal displacement components, the nonlinear response of the two PZTs yields highly erroneous result. In this context, we present for the first time a method for compensating multiple nonlinearities in the PZTs. Experimental results show the feasibility of the proposed method. The statistical performance of this method is also verified by comparing with the Cramér-Rao lower bound.

© 2006 Optical Society of America

OCIS Codes
(090.2880) Holography : Holographic interferometry
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: March 16, 2006
Revised Manuscript: June 15, 2006
Manuscript Accepted: June 22, 2006
Published: August 21, 2006

Citation
Rajesh Langoju, Abhijit Patil, and Pramod Rastogi, "Estimation of multiple phases in interferometry in the presence of nonlinear arbitrary phase steps," Opt. Express 14, 7686-7691 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-17-7686


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References

  1. P. K. Rastogi, "Phase shifting applied to four-wave holographic interferometers," Appl. Opt. 31,1680-1681 (1992). [CrossRef] [PubMed]
  2. P. K. Rastogi, "Phase-shifting holographic moir´e: Phase-shifter error-insensitive algorithms for the extraction of the difference and sum of phases in holographic moir´e," Appl. Opt. 32,3669-3675 (1993). [CrossRef] [PubMed]
  3. S. M. Kay, "Modern spectral estimation: theory and application," Prentice Hall, Englewood cliffs, New Jersey.
  4. B. Raphael, and I. F. C. Smith, "A direct stochastic algorithm for global search," Appl. Math. Comput. 146,729-758 (2003). [CrossRef]
  5. D. C. Rife, and R. R. Boorstyn, "Single-tone parameter estimation from discrete-time observations," IEEE Transactions on Information Theory,  IT-20,591-598 (1974). [CrossRef]

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