, Volume 4, Issue 3, pp 197–205 | Cite as

On the van Cittert-Zernike theorem

  • Hirofumi Fujiwara
  • Toshimitsu Asakura
  • Kazumi Murata


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.


Fourier Fourier Transform Coherence Communication Network Intensity Distribution 
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Copyright information

© Chapman and Hall 1972

Authors and Affiliations

  • Hirofumi Fujiwara
    • 1
  • Toshimitsu Asakura
    • 1
  • Kazumi Murata
    • 1
  1. 1.Department of Applied Physics, Faculty of EngineeringHokkaido UniversityHokkaidoJapan

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