First-order statistics of the phase in optical vortex speckles

Abstract

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.

Document Details

Document Type
Pub Defense Publication
Publication Date
Mar 12, 2020
Source ID
10.1364/josaa.383813

Entities

People

  • Aristide Dogariu
  • Cristian Hernando Acevedo
  • Jose R Guzman-Sepulveda

Organizations

  • Office of Naval Research

Tags

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Image Processing and Computer Vision.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.