It is shown that any partially polarized, partially coherent source can be expressed in terms of a suitable superposition of transverse coherent modes with orthogonal polarization states. Such modes are determined through the solution of a system of two coupled integral equations. An example, for which the modal decomposition is obtained in closed form in terms of fully linearly polarized Hermite Gaussian modes, is given.
Gori, F., Santarsiero, M., Simon, R., Piquero, G., Borghi, R., Guattari, G. (2003). Coherent-mode decomposition of partially polarized, partially coherent sources. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA. A, OPTICS, IMAGE SCIENCE, AND VISION, 20(1), 78-84.