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Diffuse field cross-correlations: scattering theory and electromagnetic experiments

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.
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Contributor : Matthieu Davy Connect in order to contact the contributor
Submitted on : Friday, October 29, 2021 - 2:47:14 PM
Last modification on : Monday, January 24, 2022 - 6:04:01 PM


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Matthieu Davy, Philippe Besnier, Philipp del Hougne, Julien de Rosny, Elodie Richalot, et al.. Diffuse field cross-correlations: scattering theory and electromagnetic experiments. Physical Review E , American Physical Society (APS), 2021, 104 (4), ⟨10.1103/PhysRevE.104.044204⟩. ⟨hal-03409103⟩



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