Tomography of complex three-dimensional objects with diffractive waves remains an open challenge due to the large number of scattering measurements required to obtain a stable solution to the inverse problem of reconstructing an image of the object from a set of independent scattering experiments. Here, this problem is addressed with a multiscale approach that is demonstrated experimentally using ultrasonic waves and which leads to high resolution images comparable to x-ray computerized tomography but without the limitations associated with ionizing radiation.
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