# 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 Citations (Scopus)

### Abstract

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 language English (US) 969-978 10 Journal of Modern Optics 53 7 https://doi.org/10.1080/09500340500419821 Published - May 2006 Yes

### Fingerprint

trucks
electromagnetic fields
theorems
propagation
half spaces
analogs
electromagnetism
scalars
electric fields
matrices

### ASJC Scopus subject areas

• Atomic and Molecular Physics, and Optics

### Cite this

In: Journal of Modern Optics, Vol. 53, No. 7, 05.2006, p. 969-978.

Research output: Contribution to journalArticle

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