It is shown that, for a correlation matrix of the electric vector of a random, stationary electromagnetic field to represent a field that is completely polarized at a point and frequency , 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 is that the matrix has the form , where are deterministic functions, i.e., that all pairs of the Cartesian components of the electric field at a point and frequency are completely correlated.
© 2004 Optical Society of America
Equations on this page are rendered with MathJax. Learn more.