Journal
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS
Volume 21, Issue 8, Pages 1417-1423Publisher
OPTICAL SOC AMER
DOI: 10.1364/JOSAB.21.001417
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A time-domain equivalent of the van Cittert-Zernike theorem is formulated. The two-time correlation function of an incoherent source after temporal gating and chromatic dispersion is derived. Significant spectral dispersion establishes partial temporal coherence, in a way similar to the establishment of partial spatial coherence in the far field for a spatially incoherent source after propagation through an aperture and diffraction. It is shown theoretically and experimentally that the temporal degree of coherence of the source after temporal gating and dispersive propagation is related to the modulus of the Fourier transform of the temporal transmission of the gate. The derivation of the two-time correlation function of such a source is applied to an interferometric measurement chromatic dispersion that uses a time-gated incoherent source. (C) 2004 Optical Society of America.
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