Abstract: A novel method concerning the problem of locating a hole in two-dimensional semiinfinite plane is presented. The relationship between surface metrical potential and the parameter of object shape and location is obtained by using the boundary integral equation. On the basis of that, the mathematical expression about the influence of tiny object parameter change upon surface potential distribution is derived with the reference of Newton-Kantorovich method used to solve the problem of electromagnetic inverse scatter. In the condition of initial values available, the two equations can be figured out iteratively and the true value can be approached gradually. In order to solve the ill posed equations, the damping least square method is used by choosing a proper damping factor to make the result stable. Compared with the hybrid method of finite element method and least square method for this problem, the proposed method here is more efficient.

Key words: direct current electric field, Newton-Kantorovich method, inverse problem, damping least square method