Several general theorems are established relating to well-behaved, localized, monochromatic current distributions and the fields that they generate. In particular, a necessary and sufficient condition for such a current distribution to be nonradiating is established and a general expression for all nonradiating current distributions of this class is obtained.

• Received 4 April 1973

DOI:https://doi.org/10.1103/PhysRevD.8.1044