Correlation matrix of a completely polarized, statistically stationary electromagnetic field

    Authors

    J. Ellis; A. Dogariu; S. Ponomarenko;E. Wolf

    Comments

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    Abbreviated Journal Title

    Opt. Lett.

    Keywords

    Optics

    Abstract

    It is shown that, for a 3 X 3 correlation. matrix W-ij(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 to,. 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, W) epsilon(i)j*(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. (C) 2004 Optical Society of America.

    Journal Title

    Optics Letters

    Volume

    29

    Issue/Number

    13

    Publication Date

    1-1-2004

    Document Type

    Article

    Language

    English

    First Page

    1536

    Last Page

    1538

    WOS Identifier

    WOS:000222133100034

    ISSN

    0146-9592

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