Abstract: Eddy-current inverse technique is a very important method to reconstruct the shape of flaws or cracks. Using the domain derivative of the far-field pattern for eddy-current inverse problem with Dirichlet boundary condition, a new algorithm to recover the shape of cracks was constructed and some numerical examples were given.The algorithm demonstrates that the algorithm is feasible and correct for obtaining a reasonable reconstruction of a shape of flaws or cracks from the far-field measurements even though using less data of directions of incidence and observations for fewer wave numbers are gived.

Key words: domain derivative, Nyströ, m method, eddy current