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Scaling law and spectral invariance with 3-D quasihomogeneous primary sources

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Abstract

A sufficiency condition was recently derived for a planar secondary source to generate light whose normalized spectrum is the same throughout the far zone and across the source plane.1 This condition is known as the scaling law because it implies certain invariance properties of the degree of spectral coherence of the source under scaling with wavelength. We derive a corresponding condition for light produced by 3-D primary quasihomogeneous sources. While the corresponding 3-D version of the scaling law is found to be a sufficiency condition for the normalized spectrum of the emitted light to be the same throughout the far zone, it has quite a different implication, which is discussed, regarding the relationship between the spectrum of the far field and the source spectrum.

© 1987 Optical Society of America

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