We deal with the imaging problem of determining the internal structure of a body from backscattered laser light and low-coherence interferometry. In detail, using the interference fringes which result as the back-scattering of low-coherence light is made to interfere with the reference beam, we obtain maps detailing the values of the refractive index within the sample. Our approach accounts fully for the statistical nature of the coherence phenomenon; the numerical experiments we present, which show image reconstructions of high quality, were obtained under noise floors exceeding those present for various experimental setups reported in the literature.
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