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Wigner-Function-Based Propagation of Stochastic Field Emissions from Planar Electromagnetic Sources

Gradoni, Gabriele; Arnault, Luk R.; Creagh, Stephen C.; Tanner, Gregor; Baharuddin, Mohd Hafiz; Smartt, Christopher; Thomas, David W.P.


Gabriele Gradoni

Luk R. Arnault

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Professor of Applied Mathematics

Mohd Hafiz Baharuddin

Professor of Electromagnetics Applications


© 1964-2012 IEEE. Modeling the electromagnetic radiation from modern digital systems - acting effectively as extended stochastic sources as part of a complex architecture - is a challenging task. We follow an approach here based on measuring and propagating field-field autocorrelation functions (ACFs) after suitable averaging. From the modeling side, we use the Wigner transform of the ACFs to describe random wave fields in terms of position and direction of propagation variables. An approximate propagator for the components of the radiated magnetic field is constructed for these ACFs based on a linear flow map. Field-field ACFs at the aperture level are obtained from scanning measurements of complex sources. Distance and spatial resolution of the scanning plane is less than a wavelength from the source plane to capture the imprint of evanescent waves in the near-field ACFs. Near-field scanning and efficient near-to-far-field propagation is carried out and compared with measurements. Results of this study will be useful to assist far-field predictions, source reconstruction, and emission source microscopy.


Gradoni, G., Arnault, L. R., Creagh, S. C., Tanner, G., Baharuddin, M. H., Smartt, C., & Thomas, D. W. (2018). Wigner-Function-Based Propagation of Stochastic Field Emissions from Planar Electromagnetic Sources. IEEE Transactions on Electromagnetic Compatibility, 60(3), 580-588.

Journal Article Type Article
Acceptance Date May 8, 2017
Online Publication Date Sep 19, 2017
Publication Date Jun 1, 2018
Deposit Date May 9, 2017
Publicly Available Date Sep 19, 2017
Journal IEEE Transactions on Electromagnetic Compatibility
Print ISSN 0018-9375
Electronic ISSN 0018-9375
Publisher Institute of Electrical and Electronics Engineers
Peer Reviewed Peer Reviewed
Volume 60
Issue 3
Pages 580-588
Keywords Statistical Electromagnetics, Near-field Scan,Wigner Function, Correlation, Reverberation Chamber
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