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Stochastic electromagnetic field propagation: measurement and modelling

Gradoni, Gabriele; Russer, Johannes; Baharuddin, Mohd Hafiz; Haider, Michael; Russer, Peter; Smartt, Christopher; Creagh, Stephen C.; Tanner, Gregor; Thomas, David W.P.

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Gabriele Gradoni

Johannes Russer

Mohd Hafiz Baharuddin

Michael Haider

Peter Russer

Christopher Smartt

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Professor of Applied Mathematics

Professor of Electromagnetics Applications


This paper reviews recent progress in the measurement and modelling of stochastic electromagnetic fields, focusing on propagation approaches based on Wigner functions and the method of moments technique. The respective propagation methods are exemplified by application to measurements of electromagnetic emissions from a stirred, cavity-backed aperture. We discuss early elements of statistical electromagnetics in Heaviside’s papers, driven mainly by an analogy of electromagnetic wave propagation with heat transfer. These ideas include concepts of momentum and directionality in the realm of propagation through confined media with irregular boundaries. We then review and extend concepts using Wigner functions to propagate the statistical properties of electromagnetic fields. We discuss in particular how to include polarization in this formalism leading to a Wigner tensor formulation and a relation to an averaged Poynting vector.


Gradoni, G., Russer, J., Baharuddin, M. H., Haider, M., Russer, P., Smartt, C., … Thomas, D. W. (2018). Stochastic electromagnetic field propagation: measurement and modelling. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 376, Article 20170455.

Journal Article Type Article
Acceptance Date Jul 27, 2018
Online Publication Date Oct 29, 2018
Publication Date Oct 29, 2018
Deposit Date Oct 19, 2018
Publicly Available Date Oct 19, 2018
Print ISSN 1364-503X
Publisher The Royal Society
Peer Reviewed Peer Reviewed
Volume 376
Article Number 20170455
Public URL


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