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Fractal structure of digital speckle patterns produced by rough surfaces

Author

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  • Corrêa, R.D.
  • Meireles, J.B.
  • Huguenin, J.A.O.
  • Caetano, D.P.
  • da Silva, L.

Abstract

We report on the fractal analysis of digital speckle patterns experimentally generated using an optical setup to record the light scattered from metallic rough surfaces in the normal direction. Using the differential box counting technique, we have calculated the fractal dimension of digital speckle patterns for six samples with different roughness. Our results show a quadratic dependence between the surface roughness and the fractal dimension of the corresponding digital speckle pattern. As an application a method to determine the surface roughness of metallic surfaces is proposed.

Suggested Citation

  • Corrêa, R.D. & Meireles, J.B. & Huguenin, J.A.O. & Caetano, D.P. & da Silva, L., 2013. "Fractal structure of digital speckle patterns produced by rough surfaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 869-874.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:4:p:869-874
    DOI: 10.1016/j.physa.2012.10.023
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    Cited by:

    1. Soares, H.C. & Meireles, J.B. & Castro, A.O. & Huguenin, J.A.O. & Schmidt, A.G.M. & da Silva, L., 2015. "Tsallis threshold analysis of digital speckle patterns generated by rough surfaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 1-8.
    2. Dias, M.R.B. & Junior, A.O. Castro & Dias, C.P. & de Carvalho, S.A. & Huguenin, J.A.O. & da Silva, L., 2019. "Monitoring defects of a moving metallic surface through Tsallis entropic segmentation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    3. Dias, M.R.B. & Dornelas, D. & Balthazar, W.F. & Huguenin, J.A.O. & da Silva, L., 2017. "Lacunarity study of speckle patterns produced by rough surfaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 328-336.

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