On the propagation of random electromagnetic fields with position-independent stochastic behavior

A certain kind of vectorial fields with position-independent stochastic behavior is introduced, for which several main features are preserved upon free propagation. For this set of random electromagnetic fields, it is shown that the uniform degree of polarization, the maximum attainable visibility in a Young experiment, and the expansion of the cross-spectral density tensor as the sum of totally-polarized and unpolarized terms are properties that apply for any propagation distance. An elementary example is also shown.