On the van Cittert-Zernike theorem |
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Authors: | Hirofumi Fujiwara Toshimitsu Asakura Kazumi Murata |
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Institution: | (1) Department of Applied Physics, Faculty of Engineering, Hokkaido University, Sapporo, Hokkaido, Japan;(2) Present address: The Research Institute of Applied Electricity, Hokkaido University, Sapporo, Hokkaido, Japan |
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Abstract: | The van Cittert-Zernike theorem states that the spatial coherence over a space illuminated by an incoherent extended source
is described by the Fourier transform of the intensity distribution over the source. The theorem is usually used in a restricted
case of the spatial coherence in a plane parallel to the source plane and illuminated by an incoherent extended source of
uniform intensity distribution. In this paper we re-examine the van Cittert-Zernike theorem by reviewing it in an original
formulation and extend the theorem to the spatial coherence at any two points of a light field illuminated by an incoherent
extended source having a non-uniform intensity distribution. |
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