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Related Experiment Video

Updated: May 10, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

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Van Cittert-Zernike theorem with Stokes parameters.

Jani Tervo¹, Tero Setälä, Jari Turunen

¹Department of Physics and Mathematics, University of Eastern Finland, P.O. Box 111, Joensuu FI-80101, Finland. jani.tervo@uef.fi

|July 2, 2013

Summary

We extended the van Cittert-Zernike theorem to include partially polarized, spatially incoherent sources. This reveals a direct link between source polarization and far-zone field coherence, crucial for optical systems.

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Area of Science:

Optics and Photonics
Electromagnetism and Classical Field Theory

Background:

The van Cittert-Zernike theorem traditionally relates source intensity to far-zone coherence.
Polarization effects in partially coherent fields require advanced theoretical frameworks.

Purpose of the Study:

To reformulate the van Cittert-Zernike theorem for partially polarized, spatially incoherent sources.
To establish a connection between source polarization and far-zone field coherence.

Main Methods:

Formulation of the theorem using one-point (polarization) and two-point (coherence) Stokes parameters.
Analysis of the Fourier relationship between source polarization and far-zone coherence.

Main Results:

A generalized van Cittert-Zernike theorem incorporating polarization is derived.
The far-zone coherence is shown to be a Fourier transform of the source-plane polarization.
Application to an annular aperture demonstrates the theorem's utility.

Conclusions:

The study provides a unified framework for analyzing partially polarized, partially coherent fields.
The findings offer new insights into the relationship between source properties and radiated field characteristics.
This work is relevant for designing and understanding optical instruments utilizing partially coherent and polarized light sources.