Discrete Wigner distribution function applied on images of quasi-point source objects in coherent illumination

S. Mejía-Romero; L. R. Berriel-Valdos; J. F. Aguilar; I. J. Orlando; J. E. A. Landgrave

doi:10.1117/12.903413

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2 November 2011 Discrete Wigner distribution function applied on images of quasi-point source objects in coherent illumination

S. Mejía-Romero, L. R. Berriel-Valdos, J. F. Aguilar, I. J. Orlando, J. E. A. Landgrave

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Proceedings Volume 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World; 801183 (2011) https://doi.org/10.1117/12.903413
Event: International Commission for Optics (ICO 22), 2011, Puebla, Mexico

Abstract

In this work, experimental results are obtained from the behavior of the Discrete Wigner Distribution Function (DWDF), when is applied on a detected image of an object of small dimensions, non-resolved by the optical system (OS). The object is illuminated with a laser source. We verify that for the average of several detected images the DWDF is positive inside a frequency interval of four times the bandwidth of the OS. However, when the object is not a quasi-point source the DWDF has positive and negative values inside the same interval. This is an indication that in this case the object is resolved by the OS. Numerical and experimental results are shown and compared to support this conjecture.

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S. Mejía-Romero, L. R. Berriel-Valdos, J. F. Aguilar, I. J. Orlando, and J. E. A. Landgrave "Discrete Wigner distribution function applied on images of quasi-point source objects in coherent illumination", Proc. SPIE 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World, 801183 (2 November 2011); https://doi.org/10.1117/12.903413

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