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Differences between partial polarizations in the space-time and space-frequency domains.

Tero Setälä¹, Ferdinando Nunziata, Ari T Friberg

¹Department of Applied Physics, Helsinki University of Technology (TKK), P.O. Box 3500, FI-02015 TKK, Finland. tero.setala@tkk.fi

|October 2, 2009

Summary

This summary is machine-generated.

The time-domain degree of polarization for optical beams differs from the frequency-domain measure. This study explains why these polarization measures diverge and when they coincide.

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Area of Science:

Optics and Photonics
Electromagnetism

Background:

The degree of polarization quantifies the polarization state of light.
Characterizing optical beams requires understanding their polarization properties across different domains.

Purpose of the Study:

To investigate the differences between time-domain and frequency-domain degrees of polarization for stationary, random optical beams.
To identify the underlying causes for discrepancies in polarization measurements.
To explore scenarios where these two measures are equivalent or distinct.

Main Methods:

Analysis of the mathematical relationship between time-domain and frequency-domain polarization metrics.
Theoretical examination of stationary, random optical beam models.
Case studies illustrating varying degrees of polarization.

Main Results:

The time-domain and frequency-domain degrees of polarization are generally not equal for stationary, random optical beams.
Specific conditions and beam characteristics determine the relationship between the two measures.
Examples are provided where the degrees of polarization are identical or differ significantly.

Conclusions:

Understanding the distinction between time- and frequency-domain polarization is crucial for accurate optical beam characterization.
The origin of differences lies in the inherent mathematical transformations between the domains.
The equivalence or difference of these measures depends on the statistical properties of the optical field.