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Title: Diffuse field cross-correlations: Scattering theory and electromagnetic experiments
Authors: Davy, M
Besnier, P
del Hougne, P
de Rosny, J
Richalot, E
Sarrazin, F
Savin, DV
Mortessagne, F
Kuhl, U
Legrand, O
Issue Date: 12-Oct-2021
Publisher: American Physical Society (APS)
Citation: Davy, M., Besnier, P., del Hougne, P., de Rosny, J., Richalot, E., Sarrazin, F., Savin, D.V., Mortessagne, F., Kuhl, U., and Legrand, O. (2021) Physical Review E, 104 (4), 044204. doi: 10.1103/physreve.104.044204.
Abstract: The passive estimation of impulse responses from ambient noise correlations arouses increasing interest in seismology, acoustics, optics and electromagnetism. Assuming the equipartition of the noise field, the cross-correlation function measured with non-invasive receiving probes converges towards the difference of the causal and anti-causal Green’s functions. Here, we consider the case when the receiving field probes are antennas which are well coupled to a complex medium – a scenario of practical relevance in electromagnetism. We propose a general approach based on the scattering matrix formalism to explore the convergence of the cross-correlation function. The analytically derived theoretical results for chaotic systems are confirmed in microwave measurements within a mode-stirred reverberation chamber. This study provides new fundamental insights into the Green’s function retrieval technique and paves the way for a new technique to characterize electromagnetic antennas.
ISSN: 2470-0045
Other Identifiers: 044204
Appears in Collections:Dept of Mathematics Research Papers

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