Various different parameters have been introduced to describe the degree of polarization of a partially polarized electromagnetic field in three dimensions. Of these, parameters based on the eigenvalues of the coherency matrix are invariant under a unitary transformation. Here, explicit expressions are presented for the eigenvalues, thus providing a geometrical interpretation of the behavior. These expressions are applied to the Huynen decomposition and allow interrelations between different parameters to be developed.
© 2011 Optical Society of America
Coherence and Statistical Optics
Original Manuscript: July 29, 2011
Manuscript Accepted: September 19, 2011
Published: November 28, 2011
Colin J. R. Sheppard, "Partial polarization in three dimensions," J. Opt. Soc. Am. A 28, 2655-2659 (2011)