Propagation of the electric correlation matrix and the van Cittert-Zernike theorem for random electromagnetic fields

Miguel A. Alonso, Olga Korotkova, Emil Wolf

Research output: Contribution to journalArticle

17 Scopus citations


The basic mathematical tool of the theory of random, statistically stationary electromagnetic optical fields is a 3?×?3 correlation matrix of its electric field. In this paper we derive formulae for propagation of this matrix from a plane z ≤ 0 into the half-space z > 0, and we find an analogue for electromagnetic fields to the propagation law derived by Zernike for scalar fields.

Original languageEnglish (US)
Pages (from-to)969-978
Number of pages10
JournalJournal of Modern Optics
Issue number7
StatePublished - May 1 2006
Externally publishedYes


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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