On the question of the existence of nonradiating primary planar sources of finite extent

Abstract

It is known that certain oscillating three-dimensional charge-current distributions do not radiate. In this paper we show that no monochromatic, well-behaved, two-dimensional scalar source distribution that is localized within a finite area may be nonradiating. We also generalize this result to fluctuating, stationary planar source distributions of any arbitrary state of coherence.