Correlation matrix of a completely polarized, statistically stationary electromagnetic field

被引：37

作者：

Ellis, J

Dogariu, A

Ponomarenko, S

Wolf, E

机构：

[1] Univ Cent Florida, CREOL, Sch Opt, Orlando, FL 32816 USA

[2] Univ Rochester, Dept Phys & Astron, Rochester, NY 14627 USA

[3] Univ Rochester, Inst Opt, Rochester, NY 14627 USA

来源：

OPTICS LETTERS | 2004年 / 29卷 / 13期

关键词：

Correlation matrix - Electric vectors - Monochromatic field;

D O I：

10.1364/OL.29.001536

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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.

引用

页码：1536 / 1538

页数：3