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Controlling speckle using lenses and free space.

Damien P Kelly1, Jennifer E Ward, Unnikrishnan Gopinathan

  • 1Institut für Photonik &Zentrum für Mikro- und Nanostrukturen, Technische Universität Wien, Austria.

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|December 7, 2007
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Summary

This study generalizes speckle size calculations for paraxial optical systems. Findings enable better control over speckle properties in optical designs, benefiting speckle interferometry applications.

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Area of Science:

  • Optics and Photonics
  • Wave Phenomena

Background:

  • Speckle fields are crucial in optical metrology and imaging.
  • Previous research focused on speckle size in free-space (Fresnel transform).
  • Generalizing speckle properties is essential for broader applications.

Purpose of the Study:

  • To generalize the study of speckle field correlation properties.
  • To extend previous findings on speckle size to linear canonical transforms.
  • To provide insights for controlling speckle size in optical systems.

Main Methods:

  • Analysis of correlation properties in general paraxial systems.
  • Mathematical generalization of lateral and longitudinal speckle size calculations.
  • Application of the linear canonical transform framework.

Main Results:

  • Derived generalized formulas for speckle size in paraxial systems.
  • Demonstrated the applicability of the linear canonical transform to speckle analysis.
  • Established a theoretical basis for manipulating speckle size.

Conclusions:

  • The linear canonical transform provides a powerful framework for speckle analysis.
  • Optical system design can be optimized to control speckle size.
  • These findings have direct relevance for advancing speckle interferometry techniques.