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Related Experiment Video

Updated: Jun 16, 2026

Determination of Aggregate Surface Morphology at the Interfacial Transition Zone (ITZ)
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Published on: December 16, 2019

Optical surface roughness determination using speckle correlation technique.

D Léger, E Mathieu, J C Perrin

    Applied Optics
    |February 6, 2010
    PubMed
    Summary
    This summary is machine-generated.

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    Surface roughness impacts the correlation between two speckle patterns generated by varying illumination angles. Measuring fringe visibility in the Fourier plane quantifies this correlation, aligning experimental results with theoretical predictions for normally distributed surfaces.

    Area of Science:

    • Optics and Photonics
    • Surface Science
    • Statistical Optics

    Background:

    • Speckle patterns arise from coherent light scattering off rough surfaces.
    • The statistical properties of speckle patterns are sensitive to surface characteristics.
    • Interferometric techniques can analyze subtle changes in scattered light.

    Purpose of the Study:

    • To investigate the correlation between speckle patterns from the same surface under different illumination conditions.
    • To determine the relationship between surface roughness and speckle pattern correlation.
    • To validate theoretical models of speckle correlation with experimental data.

    Main Methods:

    • Generating two speckle patterns from a single rough surface using two different angles of incidence for a coherent plane wave.

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  • Recording both speckle patterns on the same film via double exposure.
  • Analyzing the correlation by observing Young fringes in the Fourier plane when the film is illuminated by a convergent laser beam.
  • Quantifying correlation by measuring the visibility of the observed fringes.

    • Main Results:

    • A measurable correlation exists between the two speckle patterns.
    • The degree of correlation is directly dependent on the surface roughness.
    • Experimental measurements of fringe visibility showed good agreement with theoretical calculations for a normally distributed surface.

    Conclusions:

    • The correlation of speckle patterns serves as a sensitive indicator of surface roughness.
    • Varying the angle of incidence is an effective method to probe surface properties via speckle correlation.
    • The study confirms the validity of using fringe visibility in the Fourier plane for quantifying speckle correlation.