On the uniqueness of the sources of electromagnetic fields

Two uniqueness theorems are presented for those electromagnetic fields that are magnitude-integrable functions of time. In such cases, one may draw stronger conclusions than are allowed by the classic uniqueness theorems; e.g., the tangential components of such fields on any mathematical surface contained in a bounded dielectric material uniquely determine the fields at all other points in the dielectric both inside and outside the mathematical surface. Moreover, we may conclude that both the location and the strength of any sources imbedded in the dielectric are also uniquely determined. These results imply, for example, that the size of the antenna aperture does not place a fundamental limitation on the resolution capability of a radar system.