Measuring obscured OAM spectrum using Stokes fluctuations

TL;DR

This paper introduces a new method to measure the OAM spectrum of beams obscured by complex media using Stokes fluctuations, combining theoretical modeling, numerical simulation, and experimental validation.

Contribution

It presents a novel technique leveraging Stokes fluctuations to analyze the OAM spectrum of obscured beams, with a comprehensive theoretical framework and experimental demonstration.

Findings

Successfully measured OAM spectrum of obscured beams

Validated the method with numerical simulations

Demonstrated experimental measurement of fractional optical vortex modes

Abstract

A novel technique to measure the orbital angular momentum (OAM) spectrum of the beam obscured by a complex random media is proposed and experimentally demonstrated. This is realized by measuring the complex correlation polarization function (CPCF) with the help of a two-point Stokes fluctuations correlation of the random light. The OAM spectrum analysis is implemented by projecting a complex field of the CPCF into spiral harmonics. A detailed theoretical framework is developed to measure complex amplitude and to decompose different integer OAM states of the obscured beam. The developed theoretical framework is verified by numerical simulation and tested by experimental demonstration of OAM mode compositions of the fractional optical vortex (FOV) beam.