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We formulate, in the framework of the Born approximation, the problem of reconstructing the refractive index distribution of a three-dimensional object. We discuss the lack of uniqueness and stability of this problem and we propose a method for determining the number of degrees of freedom. The analysis, concerning the latter point, is illustrated with the aid of numerical computations. A reconstruction procedure is also briefly discussed.
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Bertero et al. (1980) studied this question.
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