Abstract

As an alternative to correlation-based techniques widely used in conventional speckle metrology, we propose a new technique that makes use of phase singularities in the complex analytic signal of a speckle pattern as indicators of local speckle displacements. The complex analytic signal is generated by vortex filtering the speckle pattern. Experimental results are presented that demonstrate the validity and the performance of the proposed optical vortex metrology with nano-scale resolution.

© 2006 Optical Society of America

PDF Article

References

  • View by:
  • |

  1. D. J. Chen, F. P. Chiang, Y.S. Tan, and H. S. Don, "Digital speckle displacement measurement using a complex spectrum method," Appl. Opt. 32, 1839-1849 (1993).
  2. M. Sjödahl and L. R. Benckert, "Electronic speckle photography: analysis of an algorithm giving the displacement with subpixel accuracy," Appl. Opt. 32, 22789-2284 (1993).
  3. M. Sjödahl, "Electronic speckle photography: increased accuracy by nonintegral pixel shifting," Appl. Opt. 33, 6667-6673 (1994).
  4. T. Fricke-Begemann and K. D. Hinsch, "Measurment of random processes at rough surfaces with digital speckle correlation," J. Opt. Soc. Am.A 21, 252-262 (2004).
    [CrossRef]
  5. D. D. Duncan and S. J. Kirkpatrick, "Performance analysis of a maximum-likehood speckle motion estimator," Opt. Express 10, 927-941 (2002), <a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-18-927">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-18-927</a>.
  6. W. Wang, N. Ishii, S. G. Hanson, Y. Miyamoto and M. Takeda, "Pseudophase information from the complex analytic signal of speckle fields and its applications. Part I: Microdisplacement observation based on phase-only correlation in the signal domain," Appl. Opt. 44, 4909-4915 (2005).
    [CrossRef]
  7. W. Wang, N. Ishii, S. G. Hanson, Y. Miyamoto and M. Takeda, "Phase singularities in analytic signal of white-light speckle pattern with application to micro-displacement measurement," Opt. Commun. 248, 59-68 (2005).
    [CrossRef]
  8. P. K. Rastogi, "Techniques of displacement and deformation measurements in speckle metrology," in Speckle metrology, R. S. Sirohi, ed. (Marcel Dekker, New York, 1993).
  9. D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms and Software (John Wiley & Sons, New York, 1998), Chap. 1.
  10. D. Gabor, "Theory of communications," J. IEE, 93, 429-457(1946).
  11. K. G. Larkin, D. J. Bone and M. A. Oldfield, "Natural demodulation of two-dimensional fringe patterns. I. General background of the spiral phase quadrature transform," J. Opt. Soc. Am. A 18, 1862-1870 (2001).
  12. J. F. Nye, M. V. Berry, "Dislocation in wave trains," Proc. Roy. Soc. Lond. A 336, 165-190 (1974).
  13. W. Wang, S. G. Hanson, Y. Miyamoto and M. Takeda, "Experimental investigation of local properties and statistics of optical vortices in random wave fields," Phys. Rev. Lett. 94, 103902-103904 (2005).
    [CrossRef]
  14. A. Asundi and H. North, "White-light speckle method- Current trends," Opt. Laser Eng. 29, 159-169 (1998).
    [CrossRef]

Appl. Opt. (4)

J. IEE (1)

D. Gabor, "Theory of communications," J. IEE, 93, 429-457(1946).

J. Opt. Soc. Am. A (1)

J. Opt. Soc. Am.A (1)

T. Fricke-Begemann and K. D. Hinsch, "Measurment of random processes at rough surfaces with digital speckle correlation," J. Opt. Soc. Am.A 21, 252-262 (2004).
[CrossRef]

Opt. Commun. (1)

W. Wang, N. Ishii, S. G. Hanson, Y. Miyamoto and M. Takeda, "Phase singularities in analytic signal of white-light speckle pattern with application to micro-displacement measurement," Opt. Commun. 248, 59-68 (2005).
[CrossRef]

Opt. Express (1)

Opt. Laser Eng. (1)

A. Asundi and H. North, "White-light speckle method- Current trends," Opt. Laser Eng. 29, 159-169 (1998).
[CrossRef]

Phys. Rev. Lett. (1)

W. Wang, S. G. Hanson, Y. Miyamoto and M. Takeda, "Experimental investigation of local properties and statistics of optical vortices in random wave fields," Phys. Rev. Lett. 94, 103902-103904 (2005).
[CrossRef]

Proc. Roy. Soc. Lond. A (1)

J. F. Nye, M. V. Berry, "Dislocation in wave trains," Proc. Roy. Soc. Lond. A 336, 165-190 (1974).

Speckle metrology (1)

P. K. Rastogi, "Techniques of displacement and deformation measurements in speckle metrology," in Speckle metrology, R. S. Sirohi, ed. (Marcel Dekker, New York, 1993).

Other (1)

D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms and Software (John Wiley & Sons, New York, 1998), Chap. 1.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics