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