Title

Correlation Matrix Of A Completely Polarized, Statistically Stationary Electromagnetic Field

Abstract

It is shown that, for a 3 × 3 correlation matrix Wij(r, r, ω), (i, j = x, y, z) of the electric vector of a random, stationary electromagnetic field to represent a field that is completely polarized at a point r and frequency ω, each element of the matrix must factorize. More precisely, a necessary and sufficient condition for the correlation matrix to represent a fully polarized field at a point r is that the matrix has the form Wij(r, r, ω) = ℰi*(r, ω)ℰj(r, ω), where ℰi(r, ω) (i = x, y, z) are deterministic functions, i.e., that all pairs of the Cartesian components of the electric field at a point r and frequency ω are completely correlated. © 2004 Optical Society of America.

Publication Date

7-1-2004

Publication Title

Optics Letters

Volume

29

Issue

13

Number of Pages

1536-1538

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1364/OL.29.001536

Socpus ID

3142733053 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/3142733053

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