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PIER PIER B PIER C PIER M PIER Letters
2009-11-02
Influence of Noise on Subwavelength Imaging of Two Close Scatterers Using Time Reversal Method: Theory and Experiments
By
Matthieu Davy,

    Mr. Matthieu Davy

    Université de Rennes 1

    France

    Homepage

Jean-Gabriel Minonzio,

    Dr. Jean-Gabriel Minonzio

    UMPC Universite Paris 6, UMR 7623

    France

    Homepage

Julien de Rosny,

    Dr. Julien de Rosny

    Université Denis Diderot Paris 7

    France

    Homepage

Claire Prada,

    Dr. Claire Prada

    Université Denis Diderot Paris 7

    France

    Homepage

Mathias Fink

    Prof. Mathias Fink

    Universite Paris 7

    France

    Homepage

Progress In Electromagnetics Research, Vol. 98, 333-358, 2009
doi:10.2528/PIER09071004
Abstract
Although classical imaging is limited by the Rayleigh criterion, it has been demonstrated that subwavelength imaging of two point-like scatterers can be achieved with probing sensors arrays, even if the scatterers are located in the far field of the sensors. However, the role of noise is crucial to determine the resolution limit. This paper proposes a quantitative study of the influence of noise on the subwavelength resolution obtained with the DORT-MUSIC method. The DORT method, French acronym for decomposition of the time reversal operator, consists in studying the invariants of the time reversal operator. The method is combined here with the estimator MUSIC (MUltiple SIgnal Classification) to detect and image two close metallic wires. The microwaves measurements are performed between 2.6 GHz and 4 GHz. Two wires of λ/100 diameters separated by λ/6 are imaged and separated experimentally. To interpret this result in terms of noise level, the analytical expression of the eigenvectors of the time reversal operator perturbed by the noise is established. We then deduce the noise level above which the subwavelength resolution fails. Numerical simulations and experimental results validate the theoretical developments.
Citation
Matthieu Davy, Jean-Gabriel Minonzio, Julien de Rosny, Claire Prada, and Mathias Fink, "Influence of Noise on Subwavelength Imaging of Two Close Scatterers Using Time Reversal Method: Theory and Experiments," Progress In Electromagnetics Research, Vol. 98, 333-358, 2009.
doi:10.2528/PIER09071004
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