Abstract

The class of three-dimensional (3D) nonradiating sources to the inhomogeneous Helmholtz equation is generalized to include nonradiating surface sources that are localized on closed or infinite surfaces Σ and that generate no radiation throughout one of the two space regions whose common boundary is Σ. The class of nonradiating surface sources is shown to be identical to the class of so-called secondary surface sources that are generated from boundary values of a field radiated by a 3D source. In particular, it is proven that any secondary surface source radiating into the interior (exterior) of Σ is a nonradiating surface source relative to the exterior (interior) of Σ, and vice versa. Examples of nonradiating surface sources are included, and a discussion is given of possible applications of such sources.

© 2004 Optical Society of America

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