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Updated: Dec 21, 2025
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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
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First-order statistics of the phase in optical vortex speckles
Summary
We analyzed phase statistics in optical vortex speckle fields. The phase standard deviation shows a minimum at a specific radial position dependent on the topological charge.
Area of Science:
- Optics and Photonics
- Statistical Optics
Background:
- Optical vortices carry orbital angular momentum.
- Speckle fields arise from coherent light scattering.
- Phase statistics are crucial for understanding light propagation through random media.
Purpose of the Study:
- To theoretically analyze the first-order statistics of phase in speckle fields generated by optical vortices.
- To investigate the radial behavior of phase standard deviation.
- To determine the influence of topological charge on phase statistics.
Main Methods:
- Theoretical analysis of phase statistics.
- Utilizing the equiprobability density ellipse concept.
- Investigating far-field speckle patterns from optical vortices passing through random phase screens.
Main Results:
- The phase standard deviation in speckle fields exhibits non-monotonic radial variation.
- A minimum in phase standard deviation is observed at a specific radial position.
- This minimum's location is determined by the optical vortex's topological charge.
- Phase statistics converge to Gaussian beam expectations as topological charge approaches zero.
Conclusions:
- The topological charge of an optical vortex significantly influences the radial distribution of phase statistics in speckle fields.
- The equiprobability density ellipse provides a useful framework for analyzing these complex phase behaviors.
- Understanding these statistics is key for applications involving light propagation through scattering media.
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