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Opt Lett. 2004 Jul 1;29(13):1536-8.

Correlation matrix of a completely polarized, statistically stationary electromagnetic field.

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School of Optics, Center for Research and Education in Optics and Lasers, University of Central Florida, Central Florida Boulevard, Orlando, Florida 32816-2700, USA.


It is shown that, for a 3 x 3 correlation matrix Wij(r, r, omega), (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 omega, 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, omega) = epsilon(i)*(r, omega)epsilon(j)(r, omega), where epsilon(i)(r, omega) (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 omega are completely correlated.

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