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  Reconstruction of longitudinal distributed incoherent sources

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by Joseph Rosen, Amnon Yariv
http://www.ee.bgu.ac.il/~rosen/recon.pdf
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Abstract:

We describe measurement of the degree of coherence induced by a random light source distributed along the longitudinal z axis. If this degree of coherence is measured only between all the in-plane pairs of points placed along the radial lines it is proportional to the Fourier transform of the source’s three-dimensional intensity distribution as seen from the paraxial far zone. A reconstruction of the source shape from the measured degree of coherence is also demonstrated. © 1996 Optical Society of America Imaging by a very long-baseline interferometer1 can be explained by the relation between the far-field degree of coherence and the intensity distribution of the imaged object as formulated by the Van Cittert– Zernike theorem. Explicitly, it is manifested in this theorem that the two-point degree of coherence in the far field of a quasi-monochromatic, spatially incoherent light source is proportional to the Fourier transform of the source’s planar intensity distribution. This longterm theory was updated recently because new results

Citations

13 Optical Coherence and Quantum Optics (Cambridge U – Mandel, Wolf - 1995
3 Statistical Optics, 1st ed – Goodman - 1985