OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 31, Iss. 9 — Sep. 1, 2014
  • pp: 1919–1922

Simultaneous estimation of phase and phase derivative using a difference equation representation of the interference field

Rishikesh Kulkarni and Pramod Rastogi  »View Author Affiliations


JOSA A, Vol. 31, Issue 9, pp. 1919-1922 (2014)
http://dx.doi.org/10.1364/JOSAA.31.001919


View Full Text Article

Enhanced HTML    Acrobat PDF (454 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A computationally efficient technique for fringe analysis in digital holographic interferometry using a difference equation representation of the interference field is presented. The spatially varying coefficient of the difference equation is estimated accurately by constraining it in the subspace spanned by the linearly independent basis functions. The coefficient estimated provides an accurate estimation of the interference phase derivative and enables the linear estimation of the interference field. Thereupon, the interference phase is estimated using a simple unwrapping algorithm. The performance of the proposed method is validated with the help of simulation and experimental results.

© 2014 Optical Society of America

OCIS Codes
(120.2880) Instrumentation, measurement, and metrology : Holographic interferometry
(120.4290) Instrumentation, measurement, and metrology : Nondestructive testing
(090.1995) Holography : Digital holography

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: June 13, 2014
Manuscript Accepted: July 10, 2014
Published: August 6, 2014

Citation
Rishikesh Kulkarni and Pramod Rastogi, "Simultaneous estimation of phase and phase derivative using a difference equation representation of the interference field," J. Opt. Soc. Am. A 31, 1919-1922 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-9-1919


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. G. K. Bhat, “A hybrid fringe analysis technique for the elimination of random noise in interferometric wrapped phase maps,” Opt. Commun. 111, 214–218 (1994). [CrossRef]
  2. F. Palacios, E. Gonçalves, J. Ricardo, and J. L. Valin, “Adaptive filter to improve the performance of phase-unwrapping in digital holography,” Opt. Commun. 238, 245–251 (2004). [CrossRef]
  3. R. Cusack, J. M. Huntley, and H. T. Goldrein, “Improved noise-immune phase-unwrapping algorithm,” Appl. Opt. 34, 781–789 (1995). [CrossRef]
  4. K. A. Stetson, J. Wahid, and P. Gauthier, “Noise-immune phase unwrapping by use of calculated wrap regions,” Appl. Opt. 36, 4830–4838 (1997). [CrossRef]
  5. S. S. Gorthi and P. Rastogi, “Improved high-order ambiguity-function method for the estimation of phase from interferometric fringes,” Opt. Lett. 34, 2575–2577 (2009). [CrossRef]
  6. S. S. Gorthi and P. Rastogi, “Piecewise polynomial phase approximation approach for the analysis of reconstructed interference fields in digital holographic interferometry,” J. Opt. A 11, 065405 (2009). [CrossRef]
  7. Y. Zou, G. Pedrini, and H. Tiziani, “Derivatives obtained directly from displacement data,” Opt. Commun. 111, 427–432 (1994). [CrossRef]
  8. G. Rajshekhar, S. S. Gorthi, and P. Rastogi, “Polynomial Wigner–Ville distribution-based method for direct phase derivative estimation from optical fringes,” J. Opt. A 11, 125402 (2009). [CrossRef]
  9. G. Rajshekhar, S. S. Gorthi, and P. Rastogi, “Adaptive window Wigner–Ville-distribution-based method to estimate phase derivative from optical fringes,” Opt. Lett. 34, 3151–3153 (2009). [CrossRef]
  10. Q. Kemao, “Windowed Fourier transform for fringe pattern analysis,” Appl. Opt. 43, 2695–2702 (2004). [CrossRef]
  11. G. Rajshekhar and P. Rastogi, “Fringe analysis: premise and perspectives,” Opt. Lasers Eng. 50, 3–10 (2012).
  12. A. S. Kayhan, “Representation and analysis of complex chirp signals,” Signal Process. 66, 111–116 (1998). [CrossRef]
  13. L. A. Liporace, “Linear estimation of nonstationary signals,” J. Acoust. Soc. Am. 58, 1288–1295 (1975). [CrossRef]

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.

Figures

Fig. 1. Fig. 2. Fig. 3.
 
Fig. 4.
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited