title: Shifted-elementary-mode representation for partially coherent vectorial fields.
abstract: A representation of partially spatially coherent and partially polarized stationary electromagnetic fields is given in terms of mutually uncorrelated, transversely shifted, fully coherent, and polarized elementary electric-field modes. This representation allows one to propagate non-paraxial partially coherent vector fields using techniques for spatially fully coherent fields, which are numerically far more efficient than methods for propagating correlation functions. A procedure is given to determine the elementary modes from the radiant intensity and the far-zone polarization properties of the entire field. The method is applied to quasi-homogeneous fields with rotationally symmetric cos(n) theta radiant intensity distributions (theta being the diffraction angle with respect to the optical axis and n being an integer). This is an adequate model for fields emitted by, e.g., many light-emitting diodes.
authors.affiliation: University of Eastern Finland, Department of Physics and Mathematics, P.O. Box 111, FI-80101 Joensuu, Finland. jani.tervo@joensuu.fi
authors.forename: Jani
authors.initials: J
authors.lastname: Tervo
authors.forename: Jari
authors.initials: J
authors.lastname: Turunen
authors.forename: Pasi
authors.initials: P
authors.lastname: Vahimaa
authors.forename: Frank
authors.initials: F
authors.lastname: Wyrowski