OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 4 — Feb. 21, 2005
  • pp: 1240–1248

Subspace-based method for phase retrieval in interferometry

Abhijit Patil and Pramod Rastogi  »View Author Affiliations

Optics Express, Vol. 13, Issue 4, pp. 1240-1248 (2005)

View Full Text Article

Enhanced HTML    Acrobat PDF (492 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A subspace-based method is applied to phase shifting interferometry for obtaining in real time values of phase shifts between data frames at each pixel point. A generalized phase extraction algorithm then allows for computing the phase distribution. The method is applicable to spherical beams and is capable of handling nonsinusoidal waveforms in an effective manner. Numerical simulations demonstrate phase measurement with high accuracy even in the presence of noise.

© 2005 Optical Society of America

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Research Papers

Original Manuscript: December 24, 2004
Revised Manuscript: December 24, 2004
Published: February 21, 2005

Abhijit Patil and Pramod Rastogi, "Subspace-based method for phase retrieval in interferometry," Opt. Express 13, 1240-1248 (2005)

Sort:  Journal  |  Reset  


  1. Y. Surrel, “Phase stepping: a new self-calibrating algorithm,” Appl. Opt. 32, 3598-3600 (1993). [CrossRef] [PubMed]
  2. Y. Surrel, “Design of algorithms for phase measurements by the use of phase stepping,” Appl. Opt. 35, 51-60 (1996). [CrossRef] [PubMed]
  3. K. Hibino, B. F. Oreb, D. I. Farrant, and K. G. Larkin, “Phase shifting for nonsinusoidal waveforms with phase-shift errors,” J. Opt. Soc. Am. A 12, 761-768 (1995). [CrossRef]
  4. K. G. Larkin and B. F. Oreb, “Design and assessment of symmetrical phase-shifting algorithms,” J. Opt. Soc. Am. A 9, 1740-1748 (1992). [CrossRef]
  5. A. Patil, R. Langoju , and P. Rastogi, “An integral approach to phase shifting interferometry using a super-resolution frequency estimation method,” Opt. Express 12, 4681-4697 (2004), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-20-4681.">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-20-4681</a> [CrossRef] [PubMed]
  6. R. O. Schmidt, “Multiple emitter location and signal parameter estimation,” in Proceedings RADC, Spectral Estimation Workshop, Rome, NY, (243-258) 1979.
  7. G. Bienvenu, “Influence of the spatial coherence of the background noise on high resolution passive methods,” in Proceedings of the International Conference on Acoustics, Speech, and Signal Processing, Washington, DC, 306-309 (1979)
  8. C. Rathjen, “Statistical properties of phase-shift algorithms,” J. Opt. Soc. Am. A 12, 1997-2008 (1995). [CrossRef]
  9. B. D. Rao and K. V. S. Hari, “Weighted subspace methods and spatial smoothing: analysis and comparison,” IEEE Transactions on Signal Processing 41, 788-803 (1993). [CrossRef]
  10. T. Söderström and P. Stoica, “Accuracy of higher-order Yule-Walker methods for frequency estimation of complex sine waves,” IEEE Proceedings-F 140, 71-80 (1993).
  11. A. J. Barabell, “Improving the resolution performance of eigenstructure-based direction-finding algorithms,” in Proceedings of the International Conference on Acoustics, Speech, and Signal Processing, Boston, MA, 336-339 (1983).
  12. J. J. Fuchs, “Estimating the number of sinusoids in additive white noise,” IEEE Transactions on Acoustics, Speech, and Signal Processing 36, 1846-1853 (1988) [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.


Fig. 1. Fig. 2. Fig. 3.
Fig. 4.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited