Reciprocity Relations with Partially Coherent Sources

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Abstract
Two general reciprocity relations are formulated, relating to planar sources of any state of spatial coherence and the radiation fields they generate. One of them expresses a reciprocity between the effective coherence area of the source and the effective angular spread of the radiation. The other expresses a reciprocity between the effective intensity spread across the source and the effective angular domain subtended at the source by the coherence area of the far field. Two well-known reciprocity relations associated with coherent and incoherent sources are obtained as special cases. The general reciprocity relations take a particularly simple form when the source is quasi-homogeneous.

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