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

Authors: Alonso, Miguel A.¹; Korotkova, Olga²; Wolf, Emil²

Source: Journal of Modern Optics, Volume 53, Number 7, 10 May 2006 , pp. 969-978(10)

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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.

Document Type: Research article

DOI: http://dx.doi.org/10.1080/09500340500419821

Affiliations: 1: The Institute of Optics, University of Rochester, Rochester, New York 14627, USA 2: College of Optics and Photonics, Center for Research and Education in Optics and Lasers, and Florida Photonics Center of Excellence, University of Central Florida, Orlando, Florida 32816, USA

Publication date: 2006-05-10

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