Abstract
The electromagnetic direct and inverse problems for a surface-breaking crack in a conductor are considered at a high frequency. The direct problem, which is transferred to a two-dimensional potential problem in the unfolded configuration, is solved by a boundary integral equation method. The boundary integral equation (a well-posed Fredholm integral equation of the second kind) for the normal derivative of the potential on the interior boundary of the crack is derived. The potential distribution at the open mouth of the crack is used to determine the shape of the crack. The inverse problem is solved by a genetic algorithm combined with a conjugate gradient method.
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