First-order statistics of the phase in optical vortex speckles

We present the theoretical analysis of first-order statistics of the phase in a far-field speckle field, which originates from an optical vortex passing through a random phase screen. By using the concept of the equiprobability density ellipse, we show that the standard deviation of the phase in a s...

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Veröffentlicht in:Journal of the Optical Society of America. A, Optics, image science, and vision Optics, image science, and vision, 2020-04, Vol.37 (4), p.584-590
Hauptverfasser: Acevedo, Cristian Hernando, Guzman-Sepulveda, Jose R, Dogariu, Aristide
Format: Artikel
Sprache:eng
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Zusammenfassung:We present the theoretical analysis of first-order statistics of the phase in a far-field speckle field, which originates from an optical vortex passing through a random phase screen. By using the concept of the equiprobability density ellipse, we show that the standard deviation of the phase in a speckle field varies non-monotonically in the radial direction and, more interestingly, it exhibits a minimum at a certain radial position determined by the topological charge. In the limit of zero topological charge, the phase statistics naturally converges to the expectation corresponding to the incident Gaussian beam.
ISSN:1084-7529
1520-8532
DOI:10.1364/JOSAA.383813