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Related Experiment Video

Updated: Jun 23, 2026

Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence

Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence

Published on: June 24, 2016

Phase-space rotations and orbital Stokes parameters.

Tatiana Alieva¹, Martin J Bastiaans

¹Universidad Complutense de Madrid, Ciudad Universitaria,Madrid 28040, Spain. talieva@fis.ucm.es

|April 18, 2009

Summary

We introduce orbital Stokes parameters, which quantify beam width and orbital angular momentum. These parameters transform predictably in optical systems, aiding in the analysis of light beams.

Area of Science:

Optics and Photonics
Quantum Optics
Mathematical Physics

Background:

Traditional Stokes parameters describe light polarization and energy.
Orbital angular momentum (OAM) is a key property of light beams.
Understanding beam propagation through optical systems is crucial.

Purpose of the Study:

Introduce novel orbital Stokes parameters.
Define their relationship to beam width and OAM.
Derive their transformation laws in optical systems.

Main Methods:

Defining orbital Stokes parameters as linear combinations of second-order moments.
Deriving transformation laws for first-order optical systems.
Calculating parameter values for Gaussian modes and superpositions.

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Main Results:

Orbital Stokes parameters are defined and linked to beam width and OAM.
Transformation laws under phase-space rotations are derived.
Explicit values for Gaussian modes and arbitrary fields are obtained.

Conclusions:

Orbital Stokes parameters offer a new tool for characterizing light beams.
These parameters provide insights into beam dynamics in optical systems.
The derived framework is applicable to various light field configurations.