Random matrix theory applied to acoustic backscattering and ...
Random matrix theory applied to acoustic backscattering and ...
Random matrix theory applied to acoustic backscattering and ...
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IntroductionWave propagation in r<strong>and</strong>om media is a multidisciplinary subject (optics, solid state physics,microwaves, <strong>acoustic</strong>s, seismology, etc.)Experimental flexibility of ultrasoundMulti-element arrayTime-resolved measurement of the amplitude <strong>and</strong> phase of the wave fieldNumerous applicationsImaging (adaptive focusing)Time reversalSpatial <strong>and</strong> temporal evolution of multiple scattering intensity(coherent <strong>backscattering</strong>)Array oftransducersSource iInterest of a <strong>matrix</strong> approachAcquisition of the inter-element <strong>matrix</strong> K.Receiver jk ijThis <strong>matrix</strong> contains all the information available onthe medium under investigation
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