OSA's Digital Library

Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 9, Iss. 3 — Mar. 6, 2014

Measurement of surface parameters from autocorrelation function of speckles in deep Fresnel region with microscopic imaging system

Chunxiang Liu, Qingrui Dong, Haixia Li, Zhenhua Li, Xing Li, and Chuanfu Cheng  »View Author Affiliations


Optics Express, Vol. 22, Issue 2, pp. 1302-1312 (2014)
http://dx.doi.org/10.1364/OE.22.001302


View Full Text Article

Enhanced HTML    Acrobat PDF (1301 KB) Open Access





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The derived two-dimensional autocorrelation function of speckles in the deep Fresnel region shows that it is related to the scattering of rough surface with the scattered intensity profile acting as the aperture function. We propose the method that is convenient for measuring surface parameters from the normalized autocorrelation function of speckles acquired with a microscopic imaging system. In experiment, a multi-scale behavior of the speckles has been identified, which is compatible with fractal character. With the speckle intensity data, we calculate the normalized autocorrelation function of the speckles and extract the roughness, the lateral correlation length and the roughness exponent of the random surface samples by fitting the expression to the autocorrelation function data. Comparison of the results with an atomic force microscopic measurements shows that our method has a satisfying accuracy.

© 2014 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(120.5820) Instrumentation, measurement, and metrology : Scattering measurements
(290.0290) Scattering : Scattering

ToC Category:
Scattering

History
Original Manuscript: December 6, 2013
Revised Manuscript: January 4, 2014
Manuscript Accepted: January 5, 2014
Published: January 13, 2014

Virtual Issues
Vol. 9, Iss. 3 Virtual Journal for Biomedical Optics

Citation
Chunxiang Liu, Qingrui Dong, Haixia Li, Zhenhua Li, Xing Li, and Chuanfu Cheng, "Measurement of surface parameters from autocorrelation function of speckles in deep Fresnel region with microscopic imaging system," Opt. Express 22, 1302-1312 (2014)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-22-2-1302


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. P. Meakin, Fractal, Scaling and Growth Far From Equilibrium (Cambridge University, 1998).
  2. P. Córdoba-Torres, T. J. Mesquita, I. N. Bastos, R. P. Nogueira, “Complex dynamics during metal dissolution: from intrinsic to faceted anomalous scaling,” Phys. Rev. Lett. 102(5), 055504 (2009). [CrossRef] [PubMed]
  3. S. Zhang, L. Wu, R. Y. Yue, Z. K. Yan, H. R. Zhan, Y. Xiang, “Effects of Sb-doping on the grain growth of Cu(In, Ga)Se2 thin films fabricated by means of single-target sputtering,” Thin Solid Films 527, 137–140 (2013). [CrossRef]
  4. J. G. Goodberlet, H. Kavak, “Patterning sub-50 nm features with near-field embedded-amplitude masks,” Appl. Phys. Lett. 81(7), 1315–1317 (2002). [CrossRef]
  5. K. Jang, Y. Ishibashi, D. Iwata, H. Suganuma, T. Yamada, Y. Takemura, “Fabrication of ferromagnetic nanoconstriction using atomic force microscopy nanoscratching,” J. Nanosci. Nanotechnol. 11(12), 10945–10948 (2011). [CrossRef] [PubMed]
  6. Ö. F. Farsakoğlu, D. M. Zengin, H. Kocabaş, “Grinding process for beveling and lapping operations in lens manufacturing,” Appl. Opt. 39(10), 1541–1548 (2000). [CrossRef] [PubMed]
  7. J. C. Dainty, Laser Speckle and Related Phenomena 2nd edition (Springer Verlag, 1984).
  8. M. Giglio, M. Carpineti, A. Vailati, “Space intensity correlations in the near field of the scattered light: a direct measurement of the density correlation function g(r),” Phys. Rev. Lett. 85(7), 1416–1419 (2000). [CrossRef] [PubMed]
  9. M. Giglio, M. Carpineti, A. Vailati, D. Brogioli, “Near-field intensity correlations of scattered light,” Appl. Opt. 40(24), 4036–4040 (2001). [CrossRef] [PubMed]
  10. R. Cerbino, “Correlations of light in the deep Fresnel region: An extended Van Cittert and Zernike theorem,” Phys. Rev. A 75(5), 053815 (2007). [CrossRef]
  11. D. Brogioli, A. Vailati, M. Giglio, “Heterodyne near-field scattering,” Appl. Phys. Lett. 81(22), 4109–4111 (2002). [CrossRef]
  12. C. F. Cheng, M. Liu, N. Y. Zhang, S. Y. Teng, H. S. Song, Z. Z. Xu, “Speckle intensity correlation in the diffraction region near rough surfaces and simulational experiments for extraction of surface parameters,” Europhys. Lett. 65(6), 779–784 (2004). [CrossRef]
  13. G. T. Liang, X. Li, M. N. Zhang, Z. H. Li, C. X. Liu, C. F. Cheng, “Experimental extraction of rough surface parameters from speckles in the deep Fresnel region with a scanning fibre-optic probe,” Eur. Phys. J. D 67, 030498 (2013).
  14. J. A. Ogilvy, Theory of Wave Scattering from Rough Surfaces (Adam Hilger, 1991).
  15. J. C. Dainty, The Statistics of Speckle Patterns, in Progress in Optics Vol. XIV, (North-Holland, 1976).
  16. J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications (Ben Roberts & Company, 2007).
  17. Y. P. Zhao, G. C. Wang, and T. H. Lu, Characterization of Amorphous and Crystalline Rough Surfaces: Principles and Applications (Academic, 2001).
  18. D. P. Qi, D. L. Liu, S. Y. Teng, N. Y. Zhang, C. F. Cheng, “Morphology analysis atomic force microscope and light scattering study for random scattering screens,” Acta Phys. Sin. 49(7), 1260–1266 (2000).
  19. Y. P. Zhao, I. Wu, C. F. Cheng, U. Block, G. C. Wang, T. M. Lu, “Characterization of random rough surfaces by in-plane light scattering,” J. Appl. Phys. 84(5), 2571–2582 (1998). [CrossRef]
  20. C. F. Cheng, C. X. Liu, S. Y. Teng, N. Y. Zhang, M. Liu, “Half-width of intensity profiles of light scattered from self-affine fractal random surfaces and simulational verifications,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 65(6), 061104 (2002). [CrossRef] [PubMed]
  21. M. N. Zhang, Z. H. Li, X. Y. Chen, G. T. Liang, S. Y. Wang, S. Y. Teng, C. F. Cheng, “Evolutions of speckles on rough glass/silver surfaces with film thickness,” Opt. Express 21(7), 8831–8843 (2013). [CrossRef] [PubMed]

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited