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¹Dipartimento di Fisica, Università degli Studi "Roma Tre" and CNISM, via della Vasca Navale, 84,00146 Rome, Italy. gori@uniroma3.it

|November 28, 2008

Summary

The correlation matrix for completely polarized electromagnetic planar sources has a universal form, simplifying realizability and vector mode analysis to scalar problems. This research also explores how propagation affects polarization properties.

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Area of Science:

Electromagnetism
Optics
Mathematical Physics

Background:

Electromagnetic planar sources are crucial in optics and photonics.
Complete polarization describes a specific state of electromagnetic fields.
Understanding field correlations is key to characterizing sources.

Purpose of the Study:

To determine the universal form of the correlation matrix for electromagnetic planar sources with complete polarization.
To simplify the analysis of realizability conditions and vector modes of such sources.
To investigate the impact of propagation on polarization properties.

Main Methods:

Analysis of the correlation matrix for electromagnetic planar sources.
Mathematical derivation of the universal form.
Investigation of scalar problem reduction.
Study of polarization changes during field propagation.

Main Results:

The correlation matrix of any completely polarized electromagnetic planar source exhibits a universal form.
This universal form simplifies realizability conditions and vector mode searches to scalar problems.
Propagation can maintain complete polarization under specific conditions.

Conclusions:

A universal correlation matrix form simplifies the study of completely polarized electromagnetic planar sources.
The findings reduce complex vector problems to simpler scalar ones.
Understanding propagation effects is vital for maintaining polarization states.