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In this paper we consider a completely incoherent, finite sized, quasi-monochromatic polarized
optical source located in an input plane and assume that an arbitrary paraxial optical system,
characterized by a complex ABCD matrix, occupies the space between the primary source and an
observation plane. By using a Huygens-Fresnel integral formulation whose kernel is a function of the
system ABCD matrix elements one can obtain expressions for the complex optical field in the
observation plane.
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Harold T. Yura, Steen Gruner Hanson, "Speckle statistics for propagation through complex ABCD systems," Proc. SPIE 1319, Optics in Complex Systems, (1 July 1990); https://doi.org/10.1117/12.22209