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Related Experiment Videos

Speckle dynamics resulting from multiple interfering beams.

Harold T Yura1, Steen G Hanson, Michael L Jakobsen

  • 1Electronics and Photonics Laboratory, The Aerospace Corporation, Los Angeles, California 90009, USA.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|February 5, 2008
PubMed
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Larger speckles exhibit a fine structure that moves independently. This study provides analytical expressions for the space-time covariance of irradiance and power spectrum for multi-beam illumination, applicable to various optical systems.

Area of Science:

  • Optics
  • Statistical Optics
  • Wave Propagation

Background:

  • Speckle patterns arise from coherent light scattering off rough surfaces.
  • Understanding speckle dynamics is crucial for applications like imaging and metrology.
  • Previous analyses often assumed uniform speckle translation.

Purpose of the Study:

  • To analyze the space-time intensity covariance of fully developed speckle.
  • To investigate speckle fields generated by multiple spatially separated beams.
  • To derive analytical expressions for speckle dynamics and statistical properties.

Main Methods:

  • Derivation of the space-time intensity covariance function.
  • Analysis of speckle fields from two and N-equidistant separated beams.

Related Experiment Videos

  • Calculation of irradiance covariance and power spectrum.
  • Consideration of free-space and ABCD optical systems.
  • Analysis of spatially filtered speckle fields.

    • Main Results:

    • Demonstrated that larger speckles can contain a fine structure translating at a different velocity.
    • Obtained closed-form analytical expressions for space- and time-lagged covariance of irradiance.
    • Derived the corresponding power spectrum for multi-beam illumination.
    • Validated the analysis for arbitrary real ABCD optical systems.
    • Characterized statistical signal properties after spatial filtering.

    Conclusions:

    • The independent translation of fine speckle structures offers new possibilities for controlling and analyzing speckle fields.
    • The derived analytical expressions provide a powerful tool for predicting speckle behavior in complex optical systems.
    • Spatial filtering of speckle fields reveals important statistical properties relevant to practical applications.