Abstract
The retrieval of the shape of a cylindrical defect of low conductivity buried in a conductive half-space is investigated from aspect-limited, frequency-diverse data. The sources of the interrogative fields and the receivers of the scattered (anomalous) fields are both placed on the same side of a particular interface. The defect is embedded on the other side. We derive an iterative process based on level-set methods. This level-set approach has been shown to be effective in treating problems with propagating fronts and is based on the ideas developed by Osher and Sethian. An iterative process is implemented: at each iteration, the boundary of the defect is moving with a speed term which minimizes the residual in the data fit. The resulting equation of motion is solved by employing entropy-satisfying upwind finite-differences schemes.
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© 1997 Springer-Verlag
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Litman, A., Lesselier, D., Santosa, F. (1997). A level-set approach for eddy current imaging of defects in a conductive half-space. In: Chavent, G., Sabatier, P.C. (eds) Inverse Problems of Wave Propagation and Diffraction. Lecture Notes in Physics, vol 486. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105775
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DOI: https://doi.org/10.1007/BFb0105775
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