A reciprocity theorem for the electromagnetic field scattered by an obstacle

SummaryWhen a time-harmonic plane electromagnetic wave is incident upon a scattering obstacle of finite dimensions, the far-zone scattered field satisfies a reciprocity relation. This reciprocity relation is derived with the aid of H. A. Lorentz’s theorem. The result is valid under rather general assumptions as far as the electromagnetic properties of the obstacle are concerned. As a special case, the result for a perfectly conducting obstacle is obtained.