Recovering the twisting function in a twisted waveguide from the DN map
Résumé
We consider the inverse problem of determining the twisting function in a infinite cylindrical twisted waveguide from the corresponding DN map. This problem, which is naturally linked to some inverse anisotropic conductivity problem in a straight waveguide, remains generally open, unless 1) the twisting function is assumed to be affine, or, 2) its first derivative is sufficiently close to some a priori fixed constant. In both cases, we prove Lipschitz stability in the determination of the twisting function from a suitable DN map.
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