Effect of the internal modulation of speckles in displacement measurements in optical vortex metrology

Daniel Gomez-Tejada; Daniel Sierra-Sosa; Román Castañeda; Luciano Angel-Toro

doi:10.1117/12.2026469

18 November 2013 Effect of the internal modulation of speckles in displacement measurements in optical vortex metrology

Daniel Gomez-Tejada, Daniel Sierra-Sosa, Román Castañeda, Luciano Angel-Toro

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Proceedings Volume 8785, 8th Iberoamerican Optics Meeting and 11th Latin American Meeting on Optics, Lasers, and Applications; 87858C (2013) https://doi.org/10.1117/12.2026469
Event: 8th Ibero American Optics Meeting/11th Latin American Meeting on Optics, Lasers, and Applications, 2013, Porto, Portugal

Abstract

The Optical Vortex Metrology is based on the possibility of characterizing, through topological and morphological parameters, each one of the vortices existing in the phase of the optical field, or in a pseudo-phase obtained by means of the Hibert, Reisz or Laguerre-Gauss transforms. On this basis, it is possible tracking and pairing the homologous vortices. Then, the locations and relative displacements between the homologous vortices are determined with sub-pixel precision. Because of the statistical nature of the measurements, their quality is determined, among other factors, by the amount of available vortices per unit area. In this work, it is proposed to use the internal modulation of the speckles to generate a significant increase in the vortex density, which can be achieved by employing a double aperture pupil optical system. Simulations of the speckle distributions are presented to analyze the increase of the vortex density as a function of the distance between the apertures, and to evaluate the influence of the increment of this density in the quality of uniform in-plane displacements measurements. The results corresponding to modulated speckles are compared with those obtained with a single aperture.

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Daniel Gomez-Tejada, Daniel Sierra-Sosa, Román Castañeda, and Luciano Angel-Toro "Effect of the internal modulation of speckles in displacement measurements in optical vortex metrology", Proc. SPIE 8785, 8th Iberoamerican Optics Meeting and 11th Latin American Meeting on Optics, Lasers, and Applications, 87858C (18 November 2013); https://doi.org/10.1117/12.2026469

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KEYWORDS

Modulation

Speckle

Speckle pattern

Spiral phase plates

Metrology

Optical vortices

Quality measurement

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