On the existence of non-radiating frequencies in the radiation from a stochastic current distribution

The theory of non-radiating stochastic current distributions is developed within the framework of first-order coherence theory of electromagnetic fields. Necessary and sufficient conditions for non-radiating current correlations are derived. A class of non-radiating stochastic current distributions is constructed. In contrast to these results, it can be shown that any non-trivial field correlation given on an arbitrary surface radiates.