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Luciano Angel-Toro1, Daniel Sierra-Sosa, Myrian Tebaldi

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This study presents a new Fourier optics method for vortex metrology, enhancing displacement measurement accuracy. The technique accurately characterizes optical vortices and their properties, improving upon traditional methods.

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Area of Science:

  • Optics and Photonics
  • Metrology
  • Image Analysis

Background:

  • Vortex metrology traditionally determines in-plane displacement using speckle patterns.
  • Characterizing optical vortices requires precise analysis of their topological charges and structural properties.

Purpose of the Study:

  • To introduce an alternative Fourier optics-based analysis method for vortex metrology.
  • To enhance the accuracy and range of displacement measurements.
  • To characterize optical vortices using novel analytical signal generation and Fourier transform techniques.

Main Methods:

  • Generating analytical signals from recorded intensity speckle distributions using the Riesz integral transform.
  • Creating 2D pseudophase maps to locate and characterize optical vortices (topological charge, core properties).
  • Utilizing Fourier transforms of light through multi-aperture masks at vortex locations to obtain Young's interference fringes.

Main Results:

  • The method successfully locates and characterizes optical vortices.
  • Young's interference fringes are generated for displacement analysis.
  • The technique demonstrates applicability in an extended range of displacement measurements, comparable to speckle photography.

Conclusions:

  • The proposed Fourier optics method offers a viable alternative for vortex metrology.
  • It provides accurate characterization of optical vortices and enhanced displacement measurement capabilities.
  • Experimental results validate the technique's agreement with established methods like speckle photography.