# A reciprocity inequality for Gaussian Schell-model beams and some of its consequences

TL;DR: A reciprocity inequality is derived, involving the effective size of a planar, secondary, Gaussian Schell-model source and the effective angular spread of the beam that the source generates, to imply that a fully spatially coherent source of that class has certain minimal properties.

Abstract: A reciprocity inequality is derived, involving the effective size of a planar, secondary, Gaussian Schell-model source and the effective angular spread of the beam that the source generates. The analysis is shown to imply that a fully spatially coherent source of that class (which generates the lowest-order Hermite-Gaussian laser mode) has certain minimal properties.

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##### Citations

99 citations

### Cites background from "A reciprocity inequality for Gaussi..."

...Another investigation of the reciprocal relationship between source and far zone has been undertaken by Friberg, Visser, and Wolf (2000)....

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### Cites background from "A reciprocity inequality for Gaussi..."

...A planar and secondary source generating Gaussian Schell-model beams is a beam which displays Gaussian distributions of both the optical intensity and the degree of transverse coherence.(11,12) The degree of spatial coherence measures the correlations between the amplitudes of the optical field at two points across the beam and it is the normalized form of the transverse spatial coherence function, more precisely the cross-spectral density function....

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##### References

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