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Optics Letters

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  • Vol. 29, Iss. 13 — Jul. 1, 2004
  • pp: 1536–1538

Correlation matrix of a completely polarized, statistically stationary electromagnetic field

Jeremy Ellis, Aristide Dogariu, Sergey Ponomarenko, and Emil Wolf  »View Author Affiliations


Optics Letters, Vol. 29, Issue 13, pp. 1536-1538 (2004)
http://dx.doi.org/10.1364/OL.29.001536


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Abstract

It is shown that, for a 3×3 correlation matrix Wij(r, r, ⍵), (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 ⍵, 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, ⍵)=ε*i(r, ⍵)ε j(r, ⍵), where εi(r, ⍵) (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 ⍵ are completely correlated.

© 2004 Optical Society of America

OCIS Codes
(030.6600) Coherence and statistical optics : Statistical optics
(260.5430) Physical optics : Polarization

Citation
Jeremy Ellis, Aristide Dogariu, Sergey Ponomarenko, and Emil Wolf, "Correlation matrix of a completely polarized, statistically stationary electromagnetic field," Opt. Lett. 29, 1536-1538 (2004)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-29-13-1536

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