Superposition scheme for J(0)-correlated partially coherent sources

A simple model, based on incoherent superpositions of suitably shifted and tilted lowest order Gaussian beams, is used to describe J(0)-correlated partially coherent sources, whose intensity profile is Gaussian. Such a model also provides a generalization of the J(0)-correlated source and turns out to be effective in completely characterizing the propagation features of the radiated beam, such as its propagated optical intensity; The closed-form expression for the M-2 quality factor is also given, together with a possible experimental setup for the synthesis of such sources