#### Title

Correlation matrix of a completely polarized, statistically stationary electromagnetic field

#### 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

#### ISSN

0146-9592

#### Recommended Citation

"Correlation matrix of a completely polarized, statistically stationary electromagnetic field" (2004). *Faculty Bibliography 2000s*. 4337.

http://stars.library.ucf.edu/facultybib2000/4337

## Comments

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